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Finding the Fourth Proportional to 14,424.57, 19,904.98 and 8,052.10

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Solution

The fourth proportional to 14,424.57, 19,904.98 and 8,052.10 is: 11,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.57 : 19,904.98 = 8,052.10 : x
  2. Step 2: Convert to fraction form
    14,424.57/19,904.98 = 8,052.10/x
  3. Step 3: Cross multiply
    14,424.57x = 19,904.98 × 8,052.10
  4. Step 4: Simplify right side
    14,424.57x = 160,276,889.46
  5. Step 5: Solve for x
    x = 160,276,889.46/14,424.57
  6. Step 6: Final answer
    x = 11,111.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.