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Finding the Fourth Proportional to 15,710.40, 23,565.60 and 9,489.60

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Solution

The fourth proportional to 15,710.40, 23,565.60 and 9,489.60 is: 14,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.40 : 23,565.60 = 9,489.60 : x
  2. Step 2: Convert to fraction form
    15,710.40/23,565.60 = 9,489.60/x
  3. Step 3: Cross multiply
    15,710.40x = 23,565.60 × 9,489.60
  4. Step 4: Simplify right side
    15,710.40x = 223,628,117.76
  5. Step 5: Solve for x
    x = 223,628,117.76/15,710.40
  6. Step 6: Final answer
    x = 14,234.40

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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.