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Finding the Fourth Proportional to 23,092.02, 34,641.68 and 7,506

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Solution

The fourth proportional to 23,092.02, 34,641.68 and 7,506 is: 11,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092.02 : 34,641.68 = 7,506 : x
  2. Step 2: Convert to fraction form
    23,092.02/34,641.68 = 7,506/x
  3. Step 3: Cross multiply
    23,092.02x = 34,641.68 × 7,506
  4. Step 4: Simplify right side
    23,092.02x = 260,020,412.55
  5. Step 5: Solve for x
    x = 260,020,412.55/23,092.02
  6. Step 6: Final answer
    x = 11,260.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.