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Finding the Fourth Proportional to 17,461.79, 24,097.77 and 9,504.53

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Solution

The fourth proportional to 17,461.79, 24,097.77 and 9,504.53 is: 13,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.79 : 24,097.77 = 9,504.53 : x
  2. Step 2: Convert to fraction form
    17,461.79/24,097.77 = 9,504.53/x
  3. Step 3: Cross multiply
    17,461.79x = 24,097.77 × 9,504.53
  4. Step 4: Simplify right side
    17,461.79x = 229,037,857.41
  5. Step 5: Solve for x
    x = 229,037,857.41/17,461.79
  6. Step 6: Final answer
    x = 13,116.52

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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.