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Finding the Fourth Proportional to 24,707.84, 34,099.68 and 14,099

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Solution

The fourth proportional to 24,707.84, 34,099.68 and 14,099 is: 19,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.84 : 34,099.68 = 14,099 : x
  2. Step 2: Convert to fraction form
    24,707.84/34,099.68 = 14,099/x
  3. Step 3: Cross multiply
    24,707.84x = 34,099.68 × 14,099
  4. Step 4: Simplify right side
    24,707.84x = 480,771,388.32
  5. Step 5: Solve for x
    x = 480,771,388.32/24,707.84
  6. Step 6: Final answer
    x = 19,458.25

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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.