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Finding the Fourth Proportional to 23,594, 35,396.47 and 8,011.63

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Solution

The fourth proportional to 23,594, 35,396.47 and 8,011.63 is: 12,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594 : 35,396.47 = 8,011.63 : x
  2. Step 2: Convert to fraction form
    23,594/35,396.47 = 8,011.63/x
  3. Step 3: Cross multiply
    23,594x = 35,396.47 × 8,011.63
  4. Step 4: Simplify right side
    23,594x = 283,583,263.99
  5. Step 5: Solve for x
    x = 283,583,263.99/23,594
  6. Step 6: Final answer
    x = 12,019.30

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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.