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Finding the Fourth Proportional to 15,602.31, 23,412.71 and 5,748.50

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Solution

The fourth proportional to 15,602.31, 23,412.71 and 5,748.50 is: 8,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.31 : 23,412.71 = 5,748.50 : x
  2. Step 2: Convert to fraction form
    15,602.31/23,412.71 = 5,748.50/x
  3. Step 3: Cross multiply
    15,602.31x = 23,412.71 × 5,748.50
  4. Step 4: Simplify right side
    15,602.31x = 134,587,963.44
  5. Step 5: Solve for x
    x = 134,587,963.44/15,602.31
  6. Step 6: Final answer
    x = 8,626.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.