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Finding the Fourth Proportional to 22,705.40, 31,328.36 and 13,752.74

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Solution

The fourth proportional to 22,705.40, 31,328.36 and 13,752.74 is: 18,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.40 : 31,328.36 = 13,752.74 : x
  2. Step 2: Convert to fraction form
    22,705.40/31,328.36 = 13,752.74/x
  3. Step 3: Cross multiply
    22,705.40x = 31,328.36 × 13,752.74
  4. Step 4: Simplify right side
    22,705.40x = 430,850,789.71
  5. Step 5: Solve for x
    x = 430,850,789.71/22,705.40
  6. Step 6: Final answer
    x = 18,975.70

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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.