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Finding the Fourth Proportional to 16,510.74, 22,792.66 and 10,464

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Solution

The fourth proportional to 16,510.74, 22,792.66 and 10,464 is: 14,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.74 : 22,792.66 = 10,464 : x
  2. Step 2: Convert to fraction form
    16,510.74/22,792.66 = 10,464/x
  3. Step 3: Cross multiply
    16,510.74x = 22,792.66 × 10,464
  4. Step 4: Simplify right side
    16,510.74x = 238,502,394.24
  5. Step 5: Solve for x
    x = 238,502,394.24/16,510.74
  6. Step 6: Final answer
    x = 14,445.29

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Why These Related Problems?

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