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Finding the Fourth Proportional to 24,784.60, 34,203.00 and 13,454.19

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Solution

The fourth proportional to 24,784.60, 34,203.00 and 13,454.19 is: 18,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.60 : 34,203.00 = 13,454.19 : x
  2. Step 2: Convert to fraction form
    24,784.60/34,203.00 = 13,454.19/x
  3. Step 3: Cross multiply
    24,784.60x = 34,203.00 × 13,454.19
  4. Step 4: Simplify right side
    24,784.60x = 460,173,507.08
  5. Step 5: Solve for x
    x = 460,173,507.08/24,784.60
  6. Step 6: Final answer
    x = 18,566.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.