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Finding the Fourth Proportional to 13,925.32, 20,877.02 and 6,900.50

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Solution

The fourth proportional to 13,925.32, 20,877.02 and 6,900.50 is: 10,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.32 : 20,877.02 = 6,900.50 : x
  2. Step 2: Convert to fraction form
    13,925.32/20,877.02 = 6,900.50/x
  3. Step 3: Cross multiply
    13,925.32x = 20,877.02 × 6,900.50
  4. Step 4: Simplify right side
    13,925.32x = 144,061,920.08
  5. Step 5: Solve for x
    x = 144,061,920.08/13,925.32
  6. Step 6: Final answer
    x = 10,345.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.