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Finding the Fourth Proportional to 19,713.12, 29,575.08 and 9,840.48

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Solution

The fourth proportional to 19,713.12, 29,575.08 and 9,840.48 is: 14,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.12 : 29,575.08 = 9,840.48 : x
  2. Step 2: Convert to fraction form
    19,713.12/29,575.08 = 9,840.48/x
  3. Step 3: Cross multiply
    19,713.12x = 29,575.08 × 9,840.48
  4. Step 4: Simplify right side
    19,713.12x = 291,032,983.24
  5. Step 5: Solve for x
    x = 291,032,983.24/19,713.12
  6. Step 6: Final answer
    x = 14,763.42

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1.5x scale

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.