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Finding the Fourth Proportional to 29,695.42, 40,977.93 and 16,264

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Solution

The fourth proportional to 29,695.42, 40,977.93 and 16,264 is: 22,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695.42 : 40,977.93 = 16,264 : x
  2. Step 2: Convert to fraction form
    29,695.42/40,977.93 = 16,264/x
  3. Step 3: Cross multiply
    29,695.42x = 40,977.93 × 16,264
  4. Step 4: Simplify right side
    29,695.42x = 666,465,053.52
  5. Step 5: Solve for x
    x = 666,465,053.52/29,695.42
  6. Step 6: Final answer
    x = 22,443.36

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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.