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Finding the Fourth Proportional to 23,207.53, 32,026.56 and 12,597.16

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Solution

The fourth proportional to 23,207.53, 32,026.56 and 12,597.16 is: 17,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.53 : 32,026.56 = 12,597.16 : x
  2. Step 2: Convert to fraction form
    23,207.53/32,026.56 = 12,597.16/x
  3. Step 3: Cross multiply
    23,207.53x = 32,026.56 × 12,597.16
  4. Step 4: Simplify right side
    23,207.53x = 403,443,700.57
  5. Step 5: Solve for x
    x = 403,443,700.57/23,207.53
  6. Step 6: Final answer
    x = 17,384.17

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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.