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Finding the Fourth Proportional to 22,916.90, 34,376.16 and 7,332.50

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Solution

The fourth proportional to 22,916.90, 34,376.16 and 7,332.50 is: 10,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916.90 : 34,376.16 = 7,332.50 : x
  2. Step 2: Convert to fraction form
    22,916.90/34,376.16 = 7,332.50/x
  3. Step 3: Cross multiply
    22,916.90x = 34,376.16 × 7,332.50
  4. Step 4: Simplify right side
    22,916.90x = 252,063,193.20
  5. Step 5: Solve for x
    x = 252,063,193.20/22,916.90
  6. Step 6: Final answer
    x = 10,999.01

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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.