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Finding the Fourth Proportional to 17,557.11, 24,228 and 9,599.34

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Solution

The fourth proportional to 17,557.11, 24,228 and 9,599.34 is: 13,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,557.11 : 24,228 = 9,599.34 : x
  2. Step 2: Convert to fraction form
    17,557.11/24,228 = 9,599.34/x
  3. Step 3: Cross multiply
    17,557.11x = 24,228 × 9,599.34
  4. Step 4: Simplify right side
    17,557.11x = 232,572,809.52
  5. Step 5: Solve for x
    x = 232,572,809.52/17,557.11
  6. Step 6: Final answer
    x = 13,246.65

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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.