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Finding the Fourth Proportional to 15,718.60, 23,577.90 and 9,497.80

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Solution

The fourth proportional to 15,718.60, 23,577.90 and 9,497.80 is: 14,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.60 : 23,577.90 = 9,497.80 : x
  2. Step 2: Convert to fraction form
    15,718.60/23,577.90 = 9,497.80/x
  3. Step 3: Cross multiply
    15,718.60x = 23,577.90 × 9,497.80
  4. Step 4: Simplify right side
    15,718.60x = 223,938,178.62
  5. Step 5: Solve for x
    x = 223,938,178.62/15,718.60
  6. Step 6: Final answer
    x = 14,246.70

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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.