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Finding the Fourth Proportional to 23,812.84, 32,878.74 and 15,873.76

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Solution

The fourth proportional to 23,812.84, 32,878.74 and 15,873.76 is: 21,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.84 : 32,878.74 = 15,873.76 : x
  2. Step 2: Convert to fraction form
    23,812.84/32,878.74 = 15,873.76/x
  3. Step 3: Cross multiply
    23,812.84x = 32,878.74 × 15,873.76
  4. Step 4: Simplify right side
    23,812.84x = 521,909,227.86
  5. Step 5: Solve for x
    x = 521,909,227.86/23,812.84
  6. Step 6: Final answer
    x = 21,917.13

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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.