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Finding the Fourth Proportional to 16,317.60, 24,427.80 and 9,740.40

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Solution

The fourth proportional to 16,317.60, 24,427.80 and 9,740.40 is: 14,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,317.60 : 24,427.80 = 9,740.40 : x
  2. Step 2: Convert to fraction form
    16,317.60/24,427.80 = 9,740.40/x
  3. Step 3: Cross multiply
    16,317.60x = 24,427.80 × 9,740.40
  4. Step 4: Simplify right side
    16,317.60x = 237,936,543.12
  5. Step 5: Solve for x
    x = 237,936,543.12/16,317.60
  6. Step 6: Final answer
    x = 14,581.59

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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.