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Finding the Fourth Proportional to 29,023.68, 40,043.16 and 16,275

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Solution

The fourth proportional to 29,023.68, 40,043.16 and 16,275 is: 22,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,023.68 : 40,043.16 = 16,275 : x
  2. Step 2: Convert to fraction form
    29,023.68/40,043.16 = 16,275/x
  3. Step 3: Cross multiply
    29,023.68x = 40,043.16 × 16,275
  4. Step 4: Simplify right side
    29,023.68x = 651,702,429
  5. Step 5: Solve for x
    x = 651,702,429/29,023.68
  6. Step 6: Final answer
    x = 22,454.16

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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.