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Finding the Fourth Proportional to 29,711.84, 44,574.48 and 9,722.36

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Solution

The fourth proportional to 29,711.84, 44,574.48 and 9,722.36 is: 14,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.84 : 44,574.48 = 9,722.36 : x
  2. Step 2: Convert to fraction form
    29,711.84/44,574.48 = 9,722.36/x
  3. Step 3: Cross multiply
    29,711.84x = 44,574.48 × 9,722.36
  4. Step 4: Simplify right side
    29,711.84x = 433,369,141.37
  5. Step 5: Solve for x
    x = 433,369,141.37/29,711.84
  6. Step 6: Final answer
    x = 14,585.74

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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.