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Finding the Fourth Proportional to 23,530.70, 32,472.88 and 13,460.06

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Solution

The fourth proportional to 23,530.70, 32,472.88 and 13,460.06 is: 18,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.70 : 32,472.88 = 13,460.06 : x
  2. Step 2: Convert to fraction form
    23,530.70/32,472.88 = 13,460.06/x
  3. Step 3: Cross multiply
    23,530.70x = 32,472.88 × 13,460.06
  4. Step 4: Simplify right side
    23,530.70x = 437,086,913.17
  5. Step 5: Solve for x
    x = 437,086,913.17/23,530.70
  6. Step 6: Final answer
    x = 18,575.18

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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.