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Finding the Fourth Proportional to 24,802.88, 34,228.24 and 13,624.88

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Solution

The fourth proportional to 24,802.88, 34,228.24 and 13,624.88 is: 18,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.88 : 34,228.24 = 13,624.88 : x
  2. Step 2: Convert to fraction form
    24,802.88/34,228.24 = 13,624.88/x
  3. Step 3: Cross multiply
    24,802.88x = 34,228.24 × 13,624.88
  4. Step 4: Simplify right side
    24,802.88x = 466,355,457.41
  5. Step 5: Solve for x
    x = 466,355,457.41/24,802.88
  6. Step 6: Final answer
    x = 18,802.48

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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.