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Finding the Fourth Proportional to 12,812.04, 17,674.20 and 7,506

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Solution

The fourth proportional to 12,812.04, 17,674.20 and 7,506 is: 10,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.04 : 17,674.20 = 7,506 : x
  2. Step 2: Convert to fraction form
    12,812.04/17,674.20 = 7,506/x
  3. Step 3: Cross multiply
    12,812.04x = 17,674.20 × 7,506
  4. Step 4: Simplify right side
    12,812.04x = 132,662,545.20
  5. Step 5: Solve for x
    x = 132,662,545.20/12,812.04
  6. Step 6: Final answer
    x = 10,354.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.