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Finding the Fourth Proportional to 14,486.16, 19,983.81 and 9,448.08

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Solution

The fourth proportional to 14,486.16, 19,983.81 and 9,448.08 is: 13,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.16 : 19,983.81 = 9,448.08 : x
  2. Step 2: Convert to fraction form
    14,486.16/19,983.81 = 9,448.08/x
  3. Step 3: Cross multiply
    14,486.16x = 19,983.81 × 9,448.08
  4. Step 4: Simplify right side
    14,486.16x = 188,808,635.58
  5. Step 5: Solve for x
    x = 188,808,635.58/14,486.16
  6. Step 6: Final answer
    x = 13,033.73

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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.