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Finding the Fourth Proportional to 29,886.72, 41,242.19 and 16,459.14

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Solution

The fourth proportional to 29,886.72, 41,242.19 and 16,459.14 is: 22,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,886.72 : 41,242.19 = 16,459.14 : x
  2. Step 2: Convert to fraction form
    29,886.72/41,242.19 = 16,459.14/x
  3. Step 3: Cross multiply
    29,886.72x = 41,242.19 × 16,459.14
  4. Step 4: Simplify right side
    29,886.72x = 678,810,979.12
  5. Step 5: Solve for x
    x = 678,810,979.12/29,886.72
  6. Step 6: Final answer
    x = 22,712.80

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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.