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Finding the Fourth Proportional to 15,083.20, 22,624.80 and 6,875.20

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Solution

The fourth proportional to 15,083.20, 22,624.80 and 6,875.20 is: 10,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.20 : 22,624.80 = 6,875.20 : x
  2. Step 2: Convert to fraction form
    15,083.20/22,624.80 = 6,875.20/x
  3. Step 3: Cross multiply
    15,083.20x = 22,624.80 × 6,875.20
  4. Step 4: Simplify right side
    15,083.20x = 155,550,024.96
  5. Step 5: Solve for x
    x = 155,550,024.96/15,083.20
  6. Step 6: Final answer
    x = 10,312.80

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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.