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Finding the Fourth Proportional to 29,985.54, 41,366.34 and 17,403

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Solution

The fourth proportional to 29,985.54, 41,366.34 and 17,403 is: 24,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.54 : 41,366.34 = 17,403 : x
  2. Step 2: Convert to fraction form
    29,985.54/41,366.34 = 17,403/x
  3. Step 3: Cross multiply
    29,985.54x = 41,366.34 × 17,403
  4. Step 4: Simplify right side
    29,985.54x = 719,898,415.02
  5. Step 5: Solve for x
    x = 719,898,415.02/29,985.54
  6. Step 6: Final answer
    x = 24,008.19

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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.