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Finding the Fourth Proportional to 14,417.32, 19,897.18 and 8,130.92

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Solution

The fourth proportional to 14,417.32, 19,897.18 and 8,130.92 is: 11,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.32 : 19,897.18 = 8,130.92 : x
  2. Step 2: Convert to fraction form
    14,417.32/19,897.18 = 8,130.92/x
  3. Step 3: Cross multiply
    14,417.32x = 19,897.18 × 8,130.92
  4. Step 4: Simplify right side
    14,417.32x = 161,782,378.81
  5. Step 5: Solve for x
    x = 161,782,378.81/14,417.32
  6. Step 6: Final answer
    x = 11,221.39

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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.