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Finding the Fourth Proportional to 13,870.52, 19,151.34 and 8,572.60

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Solution

The fourth proportional to 13,870.52, 19,151.34 and 8,572.60 is: 11,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.52 : 19,151.34 = 8,572.60 : x
  2. Step 2: Convert to fraction form
    13,870.52/19,151.34 = 8,572.60/x
  3. Step 3: Cross multiply
    13,870.52x = 19,151.34 × 8,572.60
  4. Step 4: Simplify right side
    13,870.52x = 164,176,777.28
  5. Step 5: Solve for x
    x = 164,176,777.28/13,870.52
  6. Step 6: Final answer
    x = 11,836.38

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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.