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Finding the Fourth Proportional to 19,810.02, 29,731.44 and 9,952.14

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Solution

The fourth proportional to 19,810.02, 29,731.44 and 9,952.14 is: 14,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.02 : 29,731.44 = 9,952.14 : x
  2. Step 2: Convert to fraction form
    19,810.02/29,731.44 = 9,952.14/x
  3. Step 3: Cross multiply
    19,810.02x = 29,731.44 × 9,952.14
  4. Step 4: Simplify right side
    19,810.02x = 295,891,453.28
  5. Step 5: Solve for x
    x = 295,891,453.28/19,810.02
  6. Step 6: Final answer
    x = 14,936.45

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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.