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Finding the Fourth Proportional to 12,307.85, 16,984.61 and 7,002.55

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Solution

The fourth proportional to 12,307.85, 16,984.61 and 7,002.55 is: 9,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.85 : 16,984.61 = 7,002.55 : x
  2. Step 2: Convert to fraction form
    12,307.85/16,984.61 = 7,002.55/x
  3. Step 3: Cross multiply
    12,307.85x = 16,984.61 × 7,002.55
  4. Step 4: Simplify right side
    12,307.85x = 118,935,545.74
  5. Step 5: Solve for x
    x = 118,935,545.74/12,307.85
  6. Step 6: Final answer
    x = 9,663.39

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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.