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Finding the Fourth Proportional to 22,921, 31,623.87 and 12,848.04

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Solution

The fourth proportional to 22,921, 31,623.87 and 12,848.04 is: 17,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921 : 31,623.87 = 12,848.04 : x
  2. Step 2: Convert to fraction form
    22,921/31,623.87 = 12,848.04/x
  3. Step 3: Cross multiply
    22,921x = 31,623.87 × 12,848.04
  4. Step 4: Simplify right side
    22,921x = 406,304,746.71
  5. Step 5: Solve for x
    x = 406,304,746.71/22,921
  6. Step 6: Final answer
    x = 17,726.31

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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.