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Finding the Fourth Proportional to 14,156.83, 19,536.01 and 8,106.87

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Solution

The fourth proportional to 14,156.83, 19,536.01 and 8,106.87 is: 11,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.83 : 19,536.01 = 8,106.87 : x
  2. Step 2: Convert to fraction form
    14,156.83/19,536.01 = 8,106.87/x
  3. Step 3: Cross multiply
    14,156.83x = 19,536.01 × 8,106.87
  4. Step 4: Simplify right side
    14,156.83x = 158,375,946.38
  5. Step 5: Solve for x
    x = 158,375,946.38/14,156.83
  6. Step 6: Final answer
    x = 11,187.25

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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.