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Finding the Fourth Proportional to 22,470.01, 31,008.35 and 12,398.50

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Solution

The fourth proportional to 22,470.01, 31,008.35 and 12,398.50 is: 17,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.01 : 31,008.35 = 12,398.50 : x
  2. Step 2: Convert to fraction form
    22,470.01/31,008.35 = 12,398.50/x
  3. Step 3: Cross multiply
    22,470.01x = 31,008.35 × 12,398.50
  4. Step 4: Simplify right side
    22,470.01x = 384,457,097.23
  5. Step 5: Solve for x
    x = 384,457,097.23/22,470.01
  6. Step 6: Final answer
    x = 17,109.79

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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.