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Finding the Fourth Proportional to 14,300.80, 19,735.16 and 8,013.24

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Solution

The fourth proportional to 14,300.80, 19,735.16 and 8,013.24 is: 11,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.80 : 19,735.16 = 8,013.24 : x
  2. Step 2: Convert to fraction form
    14,300.80/19,735.16 = 8,013.24/x
  3. Step 3: Cross multiply
    14,300.80x = 19,735.16 × 8,013.24
  4. Step 4: Simplify right side
    14,300.80x = 158,142,573.52
  5. Step 5: Solve for x
    x = 158,142,573.52/14,300.80
  6. Step 6: Final answer
    x = 11,058.30

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1.5x scale

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.