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Finding the Fourth Proportional to 14,536.89, 20,061.05 and 8,248.77

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Solution

The fourth proportional to 14,536.89, 20,061.05 and 8,248.77 is: 11,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.89 : 20,061.05 = 8,248.77 : x
  2. Step 2: Convert to fraction form
    14,536.89/20,061.05 = 8,248.77/x
  3. Step 3: Cross multiply
    14,536.89x = 20,061.05 × 8,248.77
  4. Step 4: Simplify right side
    14,536.89x = 165,478,946.16
  5. Step 5: Solve for x
    x = 165,478,946.16/14,536.89
  6. Step 6: Final answer
    x = 11,383.38

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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.