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Finding the Fourth Proportional to 18,832.16, 25,987.08 and 10,448

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Solution

The fourth proportional to 18,832.16, 25,987.08 and 10,448 is: 14,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832.16 : 25,987.08 = 10,448 : x
  2. Step 2: Convert to fraction form
    18,832.16/25,987.08 = 10,448/x
  3. Step 3: Cross multiply
    18,832.16x = 25,987.08 × 10,448
  4. Step 4: Simplify right side
    18,832.16x = 271,513,011.84
  5. Step 5: Solve for x
    x = 271,513,011.84/18,832.16
  6. Step 6: Final answer
    x = 14,417.52

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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.