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Finding the Fourth Proportional to 14,737.50, 20,337.81 and 8,023.17

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Solution

The fourth proportional to 14,737.50, 20,337.81 and 8,023.17 is: 11,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.50 : 20,337.81 = 8,023.17 : x
  2. Step 2: Convert to fraction form
    14,737.50/20,337.81 = 8,023.17/x
  3. Step 3: Cross multiply
    14,737.50x = 20,337.81 × 8,023.17
  4. Step 4: Simplify right side
    14,737.50x = 163,173,707.06
  5. Step 5: Solve for x
    x = 163,173,707.06/14,737.50
  6. Step 6: Final answer
    x = 11,072.01

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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.