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Finding the Fourth Proportional to 14,262, 19,681.56 and 7,975.68

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Solution

The fourth proportional to 14,262, 19,681.56 and 7,975.68 is: 11,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262 : 19,681.56 = 7,975.68 : x
  2. Step 2: Convert to fraction form
    14,262/19,681.56 = 7,975.68/x
  3. Step 3: Cross multiply
    14,262x = 19,681.56 × 7,975.68
  4. Step 4: Simplify right side
    14,262x = 156,973,824.46
  5. Step 5: Solve for x
    x = 156,973,824.46/14,262
  6. Step 6: Final answer
    x = 11,006.44

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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.