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Finding the Fourth Proportional to 22,916.40, 32,005.20 and 22,916.40

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Solution

The fourth proportional to 22,916.40, 32,005.20 and 22,916.40 is: 32,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916.40 : 32,005.20 = 22,916.40 : x
  2. Step 2: Convert to fraction form
    22,916.40/32,005.20 = 22,916.40/x
  3. Step 3: Cross multiply
    22,916.40x = 32,005.20 × 22,916.40
  4. Step 4: Simplify right side
    22,916.40x = 733,443,965.28
  5. Step 5: Solve for x
    x = 733,443,965.28/22,916.40
  6. Step 6: Final answer
    x = 32,005.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.