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Finding the Fourth Proportional to 22,705.86, 31,316.33 and 14,750.64

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Solution

The fourth proportional to 22,705.86, 31,316.33 and 14,750.64 is: 20,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.86 : 31,316.33 = 14,750.64 : x
  2. Step 2: Convert to fraction form
    22,705.86/31,316.33 = 14,750.64/x
  3. Step 3: Cross multiply
    22,705.86x = 31,316.33 × 14,750.64
  4. Step 4: Simplify right side
    22,705.86x = 461,935,909.95
  5. Step 5: Solve for x
    x = 461,935,909.95/22,705.86
  6. Step 6: Final answer
    x = 20,344.35

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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.