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Finding the Fourth Proportional to 22,215.60, 30,657.54 and 12,784.16

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Solution

The fourth proportional to 22,215.60, 30,657.54 and 12,784.16 is: 17,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,215.60 : 30,657.54 = 12,784.16 : x
  2. Step 2: Convert to fraction form
    22,215.60/30,657.54 = 12,784.16/x
  3. Step 3: Cross multiply
    22,215.60x = 30,657.54 × 12,784.16
  4. Step 4: Simplify right side
    22,215.60x = 391,930,679.36
  5. Step 5: Solve for x
    x = 391,930,679.36/22,215.60
  6. Step 6: Final answer
    x = 17,642.14

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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.