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Finding the Fourth Proportional to 22,545.83, 31,099.66 and 14,889.16

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Solution

The fourth proportional to 22,545.83, 31,099.66 and 14,889.16 is: 20,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.83 : 31,099.66 = 14,889.16 : x
  2. Step 2: Convert to fraction form
    22,545.83/31,099.66 = 14,889.16/x
  3. Step 3: Cross multiply
    22,545.83x = 31,099.66 × 14,889.16
  4. Step 4: Simplify right side
    22,545.83x = 463,047,813.69
  5. Step 5: Solve for x
    x = 463,047,813.69/22,545.83
  6. Step 6: Final answer
    x = 20,538.07

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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.