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Finding the Fourth Proportional to 14,473.12, 19,966.08 and 9,437.44

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Solution

The fourth proportional to 14,473.12, 19,966.08 and 9,437.44 is: 13,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.12 : 19,966.08 = 9,437.44 : x
  2. Step 2: Convert to fraction form
    14,473.12/19,966.08 = 9,437.44/x
  3. Step 3: Cross multiply
    14,473.12x = 19,966.08 × 9,437.44
  4. Step 4: Simplify right side
    14,473.12x = 188,428,682.04
  5. Step 5: Solve for x
    x = 188,428,682.04/14,473.12
  6. Step 6: Final answer
    x = 13,019.22

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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.