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Finding the Fourth Proportional to 22,881.80, 31,577.22 and 13,929.68

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Solution

The fourth proportional to 22,881.80, 31,577.22 and 13,929.68 is: 19,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.80 : 31,577.22 = 13,929.68 : x
  2. Step 2: Convert to fraction form
    22,881.80/31,577.22 = 13,929.68/x
  3. Step 3: Cross multiply
    22,881.80x = 31,577.22 × 13,929.68
  4. Step 4: Simplify right side
    22,881.80x = 439,860,569.89
  5. Step 5: Solve for x
    x = 439,860,569.89/22,881.80
  6. Step 6: Final answer
    x = 19,223.16

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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.