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Finding the Fourth Proportional to 15,232.64, 21,024.96 and 9,646.72

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Solution

The fourth proportional to 15,232.64, 21,024.96 and 9,646.72 is: 13,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.64 : 21,024.96 = 9,646.72 : x
  2. Step 2: Convert to fraction form
    15,232.64/21,024.96 = 9,646.72/x
  3. Step 3: Cross multiply
    15,232.64x = 21,024.96 × 9,646.72
  4. Step 4: Simplify right side
    15,232.64x = 202,821,902.13
  5. Step 5: Solve for x
    x = 202,821,902.13/15,232.64
  6. Step 6: Final answer
    x = 13,314.95

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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.