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Finding the Fourth Proportional to 23,613.60, 32,569.92 and 15,222

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Solution

The fourth proportional to 23,613.60, 32,569.92 and 15,222 is: 20,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.60 : 32,569.92 = 15,222 : x
  2. Step 2: Convert to fraction form
    23,613.60/32,569.92 = 15,222/x
  3. Step 3: Cross multiply
    23,613.60x = 32,569.92 × 15,222
  4. Step 4: Simplify right side
    23,613.60x = 495,779,322.24
  5. Step 5: Solve for x
    x = 495,779,322.24/23,613.60
  6. Step 6: Final answer
    x = 20,995.50

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