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Finding the Fourth Proportional to 22,488.19, 31,034.92 and 12,416.60

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Solution

The fourth proportional to 22,488.19, 31,034.92 and 12,416.60 is: 17,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.19 : 31,034.92 = 12,416.60 : x
  2. Step 2: Convert to fraction form
    22,488.19/31,034.92 = 12,416.60/x
  3. Step 3: Cross multiply
    22,488.19x = 31,034.92 × 12,416.60
  4. Step 4: Simplify right side
    22,488.19x = 385,348,187.67
  5. Step 5: Solve for x
    x = 385,348,187.67/22,488.19
  6. Step 6: Final answer
    x = 17,135.58

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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.