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Finding the Fourth Proportional to 23,337.75, 35,011.10 and 12,802

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Solution

The fourth proportional to 23,337.75, 35,011.10 and 12,802 is: 19,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,337.75 : 35,011.10 = 12,802 : x
  2. Step 2: Convert to fraction form
    23,337.75/35,011.10 = 12,802/x
  3. Step 3: Cross multiply
    23,337.75x = 35,011.10 × 12,802
  4. Step 4: Simplify right side
    23,337.75x = 448,212,038.19
  5. Step 5: Solve for x
    x = 448,212,038.19/23,337.75
  6. Step 6: Final answer
    x = 19,205.46

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