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Finding the Fourth Proportional to 13,814.62, 19,064.19 and 7,527

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Solution

The fourth proportional to 13,814.62, 19,064.19 and 7,527 is: 10,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.62 : 19,064.19 = 7,527 : x
  2. Step 2: Convert to fraction form
    13,814.62/19,064.19 = 7,527/x
  3. Step 3: Cross multiply
    13,814.62x = 19,064.19 × 7,527
  4. Step 4: Simplify right side
    13,814.62x = 143,496,158.13
  5. Step 5: Solve for x
    x = 143,496,158.13/13,814.62
  6. Step 6: Final answer
    x = 10,387.27

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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.