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Finding the Fourth Proportional to 13,886.19, 19,143 and 9,900.39

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Solution

The fourth proportional to 13,886.19, 19,143 and 9,900.39 is: 13,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.19 : 19,143 = 9,900.39 : x
  2. Step 2: Convert to fraction form
    13,886.19/19,143 = 9,900.39/x
  3. Step 3: Cross multiply
    13,886.19x = 19,143 × 9,900.39
  4. Step 4: Simplify right side
    13,886.19x = 189,523,165.77
  5. Step 5: Solve for x
    x = 189,523,165.77/13,886.19
  6. Step 6: Final answer
    x = 13,648.32

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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.