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Finding the Fourth Proportional to 14,320.78, 19,717.76 and 13,008.58

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Solution

The fourth proportional to 14,320.78, 19,717.76 and 13,008.58 is: 17,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.78 : 19,717.76 = 13,008.58 : x
  2. Step 2: Convert to fraction form
    14,320.78/19,717.76 = 13,008.58/x
  3. Step 3: Cross multiply
    14,320.78x = 19,717.76 × 13,008.58
  4. Step 4: Simplify right side
    14,320.78x = 256,500,058.38
  5. Step 5: Solve for x
    x = 256,500,058.38/14,320.78
  6. Step 6: Final answer
    x = 17,911.04

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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.