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Finding the Fourth Proportional to 23,874.93, 32,946.48 and 13,265.19

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Solution

The fourth proportional to 23,874.93, 32,946.48 and 13,265.19 is: 18,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.93 : 32,946.48 = 13,265.19 : x
  2. Step 2: Convert to fraction form
    23,874.93/32,946.48 = 13,265.19/x
  3. Step 3: Cross multiply
    23,874.93x = 32,946.48 × 13,265.19
  4. Step 4: Simplify right side
    23,874.93x = 437,041,317.03
  5. Step 5: Solve for x
    x = 437,041,317.03/23,874.93
  6. Step 6: Final answer
    x = 18,305.45

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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.