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Finding the Fourth Proportional to 12,913.31, 17,826.27 and 9,928.10

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Solution

The fourth proportional to 12,913.31, 17,826.27 and 9,928.10 is: 13,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.31 : 17,826.27 = 9,928.10 : x
  2. Step 2: Convert to fraction form
    12,913.31/17,826.27 = 9,928.10/x
  3. Step 3: Cross multiply
    12,913.31x = 17,826.27 × 9,928.10
  4. Step 4: Simplify right side
    12,913.31x = 176,980,991.19
  5. Step 5: Solve for x
    x = 176,980,991.19/12,913.31
  6. Step 6: Final answer
    x = 13,705.32

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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.