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Finding the Fourth Proportional to 14,376.47, 19,834.08 and 8,709.15

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Solution

The fourth proportional to 14,376.47, 19,834.08 and 8,709.15 is: 12,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.47 : 19,834.08 = 8,709.15 : x
  2. Step 2: Convert to fraction form
    14,376.47/19,834.08 = 8,709.15/x
  3. Step 3: Cross multiply
    14,376.47x = 19,834.08 × 8,709.15
  4. Step 4: Simplify right side
    14,376.47x = 172,738,015.61
  5. Step 5: Solve for x
    x = 172,738,015.61/14,376.47
  6. Step 6: Final answer
    x = 12,015.33

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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.