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Finding the Fourth Proportional to 17,582.76, 24,264 and 9,624.88

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Solution

The fourth proportional to 17,582.76, 24,264 and 9,624.88 is: 13,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.76 : 24,264 = 9,624.88 : x
  2. Step 2: Convert to fraction form
    17,582.76/24,264 = 9,624.88/x
  3. Step 3: Cross multiply
    17,582.76x = 24,264 × 9,624.88
  4. Step 4: Simplify right side
    17,582.76x = 233,538,088.32
  5. Step 5: Solve for x
    x = 233,538,088.32/17,582.76
  6. Step 6: Final answer
    x = 13,282.22

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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.