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Finding the Fourth Proportional to 15,771.20, 23,656.80 and 15,166.40

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Solution

The fourth proportional to 15,771.20, 23,656.80 and 15,166.40 is: 22,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.20 : 23,656.80 = 15,166.40 : x
  2. Step 2: Convert to fraction form
    15,771.20/23,656.80 = 15,166.40/x
  3. Step 3: Cross multiply
    15,771.20x = 23,656.80 × 15,166.40
  4. Step 4: Simplify right side
    15,771.20x = 358,788,491.52
  5. Step 5: Solve for x
    x = 358,788,491.52/15,771.20
  6. Step 6: Final answer
    x = 22,749.60

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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.