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Finding the Fourth Proportional to 21,632.64, 29,854.80 and 12,203.16

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Solution

The fourth proportional to 21,632.64, 29,854.80 and 12,203.16 is: 16,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.64 : 29,854.80 = 12,203.16 : x
  2. Step 2: Convert to fraction form
    21,632.64/29,854.80 = 12,203.16/x
  3. Step 3: Cross multiply
    21,632.64x = 29,854.80 × 12,203.16
  4. Step 4: Simplify right side
    21,632.64x = 364,322,901.17
  5. Step 5: Solve for x
    x = 364,322,901.17/21,632.64
  6. Step 6: Final answer
    x = 16,841.35

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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.