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Finding the Fourth Proportional to 29,459.86, 40,656.03 and 16,884.64

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Solution

The fourth proportional to 29,459.86, 40,656.03 and 16,884.64 is: 23,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,459.86 : 40,656.03 = 16,884.64 : x
  2. Step 2: Convert to fraction form
    29,459.86/40,656.03 = 16,884.64/x
  3. Step 3: Cross multiply
    29,459.86x = 40,656.03 × 16,884.64
  4. Step 4: Simplify right side
    29,459.86x = 686,462,430.38
  5. Step 5: Solve for x
    x = 686,462,430.38/29,459.86
  6. Step 6: Final answer
    x = 23,301.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.