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Finding the Fourth Proportional to 22,830.80, 31,522.02 and 14,783.90

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Solution

The fourth proportional to 22,830.80, 31,522.02 and 14,783.90 is: 20,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.80 : 31,522.02 = 14,783.90 : x
  2. Step 2: Convert to fraction form
    22,830.80/31,522.02 = 14,783.90/x
  3. Step 3: Cross multiply
    22,830.80x = 31,522.02 × 14,783.90
  4. Step 4: Simplify right side
    22,830.80x = 466,018,391.48
  5. Step 5: Solve for x
    x = 466,018,391.48/22,830.80
  6. Step 6: Final answer
    x = 20,411.83

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