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Finding the Fourth Proportional to 29,403.88, 44,089.21 and 9,677.14

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Solution

The fourth proportional to 29,403.88, 44,089.21 and 9,677.14 is: 14,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,403.88 : 44,089.21 = 9,677.14 : x
  2. Step 2: Convert to fraction form
    29,403.88/44,089.21 = 9,677.14/x
  3. Step 3: Cross multiply
    29,403.88x = 44,089.21 × 9,677.14
  4. Step 4: Simplify right side
    29,403.88x = 426,657,457.66
  5. Step 5: Solve for x
    x = 426,657,457.66/29,403.88
  6. Step 6: Final answer
    x = 14,510.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.