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Finding the Fourth Proportional to 15,780.48, 23,697.60 and 15,120

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Solution

The fourth proportional to 15,780.48, 23,697.60 and 15,120 is: 22,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.48 : 23,697.60 = 15,120 : x
  2. Step 2: Convert to fraction form
    15,780.48/23,697.60 = 15,120/x
  3. Step 3: Cross multiply
    15,780.48x = 23,697.60 × 15,120
  4. Step 4: Simplify right side
    15,780.48x = 358,307,712
  5. Step 5: Solve for x
    x = 358,307,712/15,780.48
  6. Step 6: Final answer
    x = 22,705.75

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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.