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Finding the Fourth Proportional to 12,341.68, 17,031.82 and 7,037

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Solution

The fourth proportional to 12,341.68, 17,031.82 and 7,037 is: 9,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.68 : 17,031.82 = 7,037 : x
  2. Step 2: Convert to fraction form
    12,341.68/17,031.82 = 7,037/x
  3. Step 3: Cross multiply
    12,341.68x = 17,031.82 × 7,037
  4. Step 4: Simplify right side
    12,341.68x = 119,852,917.34
  5. Step 5: Solve for x
    x = 119,852,917.34/12,341.68
  6. Step 6: Final answer
    x = 9,711.23

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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.