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Finding the Fourth Proportional to 24,197.80, 33,390.64 and 13,585

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Solution

The fourth proportional to 24,197.80, 33,390.64 and 13,585 is: 18,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.80 : 33,390.64 = 13,585 : x
  2. Step 2: Convert to fraction form
    24,197.80/33,390.64 = 13,585/x
  3. Step 3: Cross multiply
    24,197.80x = 33,390.64 × 13,585
  4. Step 4: Simplify right side
    24,197.80x = 453,611,844.40
  5. Step 5: Solve for x
    x = 453,611,844.40/24,197.80
  6. Step 6: Final answer
    x = 18,746.00

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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.