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Finding the Fourth Proportional to 15,582.72, 23,376 and 6,347.52

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Solution

The fourth proportional to 15,582.72, 23,376 and 6,347.52 is: 9,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.72 : 23,376 = 6,347.52 : x
  2. Step 2: Convert to fraction form
    15,582.72/23,376 = 6,347.52/x
  3. Step 3: Cross multiply
    15,582.72x = 23,376 × 6,347.52
  4. Step 4: Simplify right side
    15,582.72x = 148,379,627.52
  5. Step 5: Solve for x
    x = 148,379,627.52/15,582.72
  6. Step 6: Final answer
    x = 9,522.06

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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.