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Finding the Fourth Proportional to 14,002.71, 19,323.53 and 8,034.25

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Solution

The fourth proportional to 14,002.71, 19,323.53 and 8,034.25 is: 11,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.71 : 19,323.53 = 8,034.25 : x
  2. Step 2: Convert to fraction form
    14,002.71/19,323.53 = 8,034.25/x
  3. Step 3: Cross multiply
    14,002.71x = 19,323.53 × 8,034.25
  4. Step 4: Simplify right side
    14,002.71x = 155,249,974.28
  5. Step 5: Solve for x
    x = 155,249,974.28/14,002.71
  6. Step 6: Final answer
    x = 11,087.14

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1.5x scale

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.