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Finding the Fourth Proportional to 14,053.65, 19,380.85 and 9,019.45

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Solution

The fourth proportional to 14,053.65, 19,380.85 and 9,019.45 is: 12,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.65 : 19,380.85 = 9,019.45 : x
  2. Step 2: Convert to fraction form
    14,053.65/19,380.85 = 9,019.45/x
  3. Step 3: Cross multiply
    14,053.65x = 19,380.85 × 9,019.45
  4. Step 4: Simplify right side
    14,053.65x = 174,804,607.53
  5. Step 5: Solve for x
    x = 174,804,607.53/14,053.65
  6. Step 6: Final answer
    x = 12,438.38

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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.