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Finding the Fourth Proportional to 22,873.86, 31,565.88 and 12,802.26

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Solution

The fourth proportional to 22,873.86, 31,565.88 and 12,802.26 is: 17,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.86 : 31,565.88 = 12,802.26 : x
  2. Step 2: Convert to fraction form
    22,873.86/31,565.88 = 12,802.26/x
  3. Step 3: Cross multiply
    22,873.86x = 31,565.88 × 12,802.26
  4. Step 4: Simplify right side
    22,873.86x = 404,114,602.89
  5. Step 5: Solve for x
    x = 404,114,602.89/22,873.86
  6. Step 6: Final answer
    x = 17,667.09

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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.