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Finding the Fourth Proportional to 17,485.80, 24,130.41 and 9,528

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Solution

The fourth proportional to 17,485.80, 24,130.41 and 9,528 is: 13,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,485.80 : 24,130.41 = 9,528 : x
  2. Step 2: Convert to fraction form
    17,485.80/24,130.41 = 9,528/x
  3. Step 3: Cross multiply
    17,485.80x = 24,130.41 × 9,528
  4. Step 4: Simplify right side
    17,485.80x = 229,914,546.48
  5. Step 5: Solve for x
    x = 229,914,546.48/17,485.80
  6. Step 6: Final answer
    x = 13,148.64

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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.