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Finding the Fourth Proportional to 15,898.86, 23,863.86 and 13,283.19

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Solution

The fourth proportional to 15,898.86, 23,863.86 and 13,283.19 is: 19,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.86 : 23,863.86 = 13,283.19 : x
  2. Step 2: Convert to fraction form
    15,898.86/23,863.86 = 13,283.19/x
  3. Step 3: Cross multiply
    15,898.86x = 23,863.86 × 13,283.19
  4. Step 4: Simplify right side
    15,898.86x = 316,988,186.51
  5. Step 5: Solve for x
    x = 316,988,186.51/15,898.86
  6. Step 6: Final answer
    x = 19,937.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.