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Finding the Fourth Proportional to 10,744.65, 16,038.45 and 9,953.23

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Solution

The fourth proportional to 10,744.65, 16,038.45 and 9,953.23 is: 14,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.65 : 16,038.45 = 9,953.23 : x
  2. Step 2: Convert to fraction form
    10,744.65/16,038.45 = 9,953.23/x
  3. Step 3: Cross multiply
    10,744.65x = 16,038.45 × 9,953.23
  4. Step 4: Simplify right side
    10,744.65x = 159,634,251.74
  5. Step 5: Solve for x
    x = 159,634,251.74/10,744.65
  6. Step 6: Final answer
    x = 14,857.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.