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Finding the Fourth Proportional to 15,678.48, 23,510.16 and 8,291.28

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Solution

The fourth proportional to 15,678.48, 23,510.16 and 8,291.28 is: 12,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.48 : 23,510.16 = 8,291.28 : x
  2. Step 2: Convert to fraction form
    15,678.48/23,510.16 = 8,291.28/x
  3. Step 3: Cross multiply
    15,678.48x = 23,510.16 × 8,291.28
  4. Step 4: Simplify right side
    15,678.48x = 194,929,319.40
  5. Step 5: Solve for x
    x = 194,929,319.40/15,678.48
  6. Step 6: Final answer
    x = 12,432.92

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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.