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Finding the Fourth Proportional to 22,154.79, 30,565.89 and 14,201.40

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Solution

The fourth proportional to 22,154.79, 30,565.89 and 14,201.40 is: 19,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.79 : 30,565.89 = 14,201.40 : x
  2. Step 2: Convert to fraction form
    22,154.79/30,565.89 = 14,201.40/x
  3. Step 3: Cross multiply
    22,154.79x = 30,565.89 × 14,201.40
  4. Step 4: Simplify right side
    22,154.79x = 434,078,430.25
  5. Step 5: Solve for x
    x = 434,078,430.25/22,154.79
  6. Step 6: Final answer
    x = 19,592.98

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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.