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Finding the Fourth Proportional to 12,332.34, 16,981.34 and 10,339.43

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Solution

The fourth proportional to 12,332.34, 16,981.34 and 10,339.43 is: 14,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.34 : 16,981.34 = 10,339.43 : x
  2. Step 2: Convert to fraction form
    12,332.34/16,981.34 = 10,339.43/x
  3. Step 3: Cross multiply
    12,332.34x = 16,981.34 × 10,339.43
  4. Step 4: Simplify right side
    12,332.34x = 175,577,239.63
  5. Step 5: Solve for x
    x = 175,577,239.63/12,332.34
  6. Step 6: Final answer
    x = 14,237.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.