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Finding the Fourth Proportional to 15,666.40, 23,499.60 and 9,752.80

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Solution

The fourth proportional to 15,666.40, 23,499.60 and 9,752.80 is: 14,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.40 : 23,499.60 = 9,752.80 : x
  2. Step 2: Convert to fraction form
    15,666.40/23,499.60 = 9,752.80/x
  3. Step 3: Cross multiply
    15,666.40x = 23,499.60 × 9,752.80
  4. Step 4: Simplify right side
    15,666.40x = 229,186,898.88
  5. Step 5: Solve for x
    x = 229,186,898.88/15,666.40
  6. Step 6: Final answer
    x = 14,629.20

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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.