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Finding the Fourth Proportional to 15,687.60, 23,538.68 and 5,830.30

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Solution

The fourth proportional to 15,687.60, 23,538.68 and 5,830.30 is: 8,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.60 : 23,538.68 = 5,830.30 : x
  2. Step 2: Convert to fraction form
    15,687.60/23,538.68 = 5,830.30/x
  3. Step 3: Cross multiply
    15,687.60x = 23,538.68 × 5,830.30
  4. Step 4: Simplify right side
    15,687.60x = 137,237,566.00
  5. Step 5: Solve for x
    x = 137,237,566.00/15,687.60
  6. Step 6: Final answer
    x = 8,748.16

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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.