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Finding the Fourth Proportional to 17,302.84, 23,878.06 and 9,851.32

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Solution

The fourth proportional to 17,302.84, 23,878.06 and 9,851.32 is: 13,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.84 : 23,878.06 = 9,851.32 : x
  2. Step 2: Convert to fraction form
    17,302.84/23,878.06 = 9,851.32/x
  3. Step 3: Cross multiply
    17,302.84x = 23,878.06 × 9,851.32
  4. Step 4: Simplify right side
    17,302.84x = 235,230,410.04
  5. Step 5: Solve for x
    x = 235,230,410.04/17,302.84
  6. Step 6: Final answer
    x = 13,594.90

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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.