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Finding the Fourth Proportional to 14,132.16, 19,502.28 and 7,844.52

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Solution

The fourth proportional to 14,132.16, 19,502.28 and 7,844.52 is: 10,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.16 : 19,502.28 = 7,844.52 : x
  2. Step 2: Convert to fraction form
    14,132.16/19,502.28 = 7,844.52/x
  3. Step 3: Cross multiply
    14,132.16x = 19,502.28 × 7,844.52
  4. Step 4: Simplify right side
    14,132.16x = 152,986,025.51
  5. Step 5: Solve for x
    x = 152,986,025.51/14,132.16
  6. Step 6: Final answer
    x = 10,825.38

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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.