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Finding the Fourth Proportional to 14,332, 19,778.30 and 8,044.51

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Solution

The fourth proportional to 14,332, 19,778.30 and 8,044.51 is: 11,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332 : 19,778.30 = 8,044.51 : x
  2. Step 2: Convert to fraction form
    14,332/19,778.30 = 8,044.51/x
  3. Step 3: Cross multiply
    14,332x = 19,778.30 × 8,044.51
  4. Step 4: Simplify right side
    14,332x = 159,106,732.13
  5. Step 5: Solve for x
    x = 159,106,732.13/14,332
  6. Step 6: Final answer
    x = 11,101.50

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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.