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Finding the Fourth Proportional to 16,045.13, 24,047.63 and 7,722.92

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Solution

The fourth proportional to 16,045.13, 24,047.63 and 7,722.92 is: 11,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.13 : 24,047.63 = 7,722.92 : x
  2. Step 2: Convert to fraction form
    16,045.13/24,047.63 = 7,722.92/x
  3. Step 3: Cross multiply
    16,045.13x = 24,047.63 × 7,722.92
  4. Step 4: Simplify right side
    16,045.13x = 185,717,884.07
  5. Step 5: Solve for x
    x = 185,717,884.07/16,045.13
  6. Step 6: Final answer
    x = 11,574.72

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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.