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Finding the Fourth Proportional to 16,592.70, 22,897.38 and 9,038.94

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Solution

The fourth proportional to 16,592.70, 22,897.38 and 9,038.94 is: 12,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.70 : 22,897.38 = 9,038.94 : x
  2. Step 2: Convert to fraction form
    16,592.70/22,897.38 = 9,038.94/x
  3. Step 3: Cross multiply
    16,592.70x = 22,897.38 × 9,038.94
  4. Step 4: Simplify right side
    16,592.70x = 206,968,120.81
  5. Step 5: Solve for x
    x = 206,968,120.81/16,592.70
  6. Step 6: Final answer
    x = 12,473.45

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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.