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Finding the Fourth Proportional to 15,878.80, 21,914.09 and 8,807.50

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Solution

The fourth proportional to 15,878.80, 21,914.09 and 8,807.50 is: 12,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.80 : 21,914.09 = 8,807.50 : x
  2. Step 2: Convert to fraction form
    15,878.80/21,914.09 = 8,807.50/x
  3. Step 3: Cross multiply
    15,878.80x = 21,914.09 × 8,807.50
  4. Step 4: Simplify right side
    15,878.80x = 193,008,347.68
  5. Step 5: Solve for x
    x = 193,008,347.68/15,878.80
  6. Step 6: Final answer
    x = 12,155.10

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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.