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Finding the Fourth Proportional to 14,300.54, 19,734.38 and 8,013.32

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Solution

The fourth proportional to 14,300.54, 19,734.38 and 8,013.32 is: 11,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.54 : 19,734.38 = 8,013.32 : x
  2. Step 2: Convert to fraction form
    14,300.54/19,734.38 = 8,013.32/x
  3. Step 3: Cross multiply
    14,300.54x = 19,734.38 × 8,013.32
  4. Step 4: Simplify right side
    14,300.54x = 158,137,901.94
  5. Step 5: Solve for x
    x = 158,137,901.94/14,300.54
  6. Step 6: Final answer
    x = 11,058.18

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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.