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Finding the Fourth Proportional to 17,675.84, 24,392.03 and 9,718.00

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Solution

The fourth proportional to 17,675.84, 24,392.03 and 9,718.00 is: 13,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.84 : 24,392.03 = 9,718.00 : x
  2. Step 2: Convert to fraction form
    17,675.84/24,392.03 = 9,718.00/x
  3. Step 3: Cross multiply
    17,675.84x = 24,392.03 × 9,718.00
  4. Step 4: Simplify right side
    17,675.84x = 237,041,637.97
  5. Step 5: Solve for x
    x = 237,041,637.97/17,675.84
  6. Step 6: Final answer
    x = 13,410.49

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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.