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Finding the Fourth Proportional to 14,822.38, 22,239.81 and 6,498.10

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Solution

The fourth proportional to 14,822.38, 22,239.81 and 6,498.10 is: 9,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.38 : 22,239.81 = 6,498.10 : x
  2. Step 2: Convert to fraction form
    14,822.38/22,239.81 = 6,498.10/x
  3. Step 3: Cross multiply
    14,822.38x = 22,239.81 × 6,498.10
  4. Step 4: Simplify right side
    14,822.38x = 144,516,509.36
  5. Step 5: Solve for x
    x = 144,516,509.36/14,822.38
  6. Step 6: Final answer
    x = 9,749.89

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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.