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Finding the Fourth Proportional to 14,374.16, 21,522.32 and 10,632

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Solution

The fourth proportional to 14,374.16, 21,522.32 and 10,632 is: 15,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.16 : 21,522.32 = 10,632 : x
  2. Step 2: Convert to fraction form
    14,374.16/21,522.32 = 10,632/x
  3. Step 3: Cross multiply
    14,374.16x = 21,522.32 × 10,632
  4. Step 4: Simplify right side
    14,374.16x = 228,825,306.24
  5. Step 5: Solve for x
    x = 228,825,306.24/14,374.16
  6. Step 6: Final answer
    x = 15,919.21

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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.