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Finding the Fourth Proportional to 13,587.68, 18,751.47 and 7,926.05

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Solution

The fourth proportional to 13,587.68, 18,751.47 and 7,926.05 is: 10,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.68 : 18,751.47 = 7,926.05 : x
  2. Step 2: Convert to fraction form
    13,587.68/18,751.47 = 7,926.05/x
  3. Step 3: Cross multiply
    13,587.68x = 18,751.47 × 7,926.05
  4. Step 4: Simplify right side
    13,587.68x = 148,625,088.79
  5. Step 5: Solve for x
    x = 148,625,088.79/13,587.68
  6. Step 6: Final answer
    x = 10,938.22

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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.