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Finding the Fourth Proportional to 22,357.16, 30,854.72 and 14,415.92

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Solution

The fourth proportional to 22,357.16, 30,854.72 and 14,415.92 is: 19,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.16 : 30,854.72 = 14,415.92 : x
  2. Step 2: Convert to fraction form
    22,357.16/30,854.72 = 14,415.92/x
  3. Step 3: Cross multiply
    22,357.16x = 30,854.72 × 14,415.92
  4. Step 4: Simplify right side
    22,357.16x = 444,799,175.14
  5. Step 5: Solve for x
    x = 444,799,175.14/22,357.16
  6. Step 6: Final answer
    x = 19,895.16

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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.