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Finding the Fourth Proportional to 14,697.18, 20,282.43 and 9,034.98

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Solution

The fourth proportional to 14,697.18, 20,282.43 and 9,034.98 is: 12,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.18 : 20,282.43 = 9,034.98 : x
  2. Step 2: Convert to fraction form
    14,697.18/20,282.43 = 9,034.98/x
  3. Step 3: Cross multiply
    14,697.18x = 20,282.43 × 9,034.98
  4. Step 4: Simplify right side
    14,697.18x = 183,251,349.40
  5. Step 5: Solve for x
    x = 183,251,349.40/14,697.18
  6. Step 6: Final answer
    x = 12,468.47

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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.