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Finding the Fourth Proportional to 15,657.60, 23,486.14 and 5,269.35

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Solution

The fourth proportional to 15,657.60, 23,486.14 and 5,269.35 is: 7,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.60 : 23,486.14 = 5,269.35 : x
  2. Step 2: Convert to fraction form
    15,657.60/23,486.14 = 5,269.35/x
  3. Step 3: Cross multiply
    15,657.60x = 23,486.14 × 5,269.35
  4. Step 4: Simplify right side
    15,657.60x = 123,756,756.83
  5. Step 5: Solve for x
    x = 123,756,756.83/15,657.60
  6. Step 6: Final answer
    x = 7,903.94

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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.