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Finding the Fourth Proportional to 13,881.71, 19,151.30 and 8,567.30

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Solution

The fourth proportional to 13,881.71, 19,151.30 and 8,567.30 is: 11,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.71 : 19,151.30 = 8,567.30 : x
  2. Step 2: Convert to fraction form
    13,881.71/19,151.30 = 8,567.30/x
  3. Step 3: Cross multiply
    13,881.71x = 19,151.30 × 8,567.30
  4. Step 4: Simplify right side
    13,881.71x = 164,075,001.79
  5. Step 5: Solve for x
    x = 164,075,001.79/13,881.71
  6. Step 6: Final answer
    x = 11,819.51

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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.