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Finding the Fourth Proportional to 22,873.32, 31,565.35 and 12,802.70

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Solution

The fourth proportional to 22,873.32, 31,565.35 and 12,802.70 is: 17,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.32 : 31,565.35 = 12,802.70 : x
  2. Step 2: Convert to fraction form
    22,873.32/31,565.35 = 12,802.70/x
  3. Step 3: Cross multiply
    22,873.32x = 31,565.35 × 12,802.70
  4. Step 4: Simplify right side
    22,873.32x = 404,121,507.40
  5. Step 5: Solve for x
    x = 404,121,507.40/22,873.32
  6. Step 6: Final answer
    x = 17,667.81

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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.