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Finding the Fourth Proportional to 14,374.69, 21,523.05 and 7,434.61

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Solution

The fourth proportional to 14,374.69, 21,523.05 and 7,434.61 is: 11,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.69 : 21,523.05 = 7,434.61 : x
  2. Step 2: Convert to fraction form
    14,374.69/21,523.05 = 7,434.61/x
  3. Step 3: Cross multiply
    14,374.69x = 21,523.05 × 7,434.61
  4. Step 4: Simplify right side
    14,374.69x = 160,015,482.76
  5. Step 5: Solve for x
    x = 160,015,482.76/14,374.69
  6. Step 6: Final answer
    x = 11,131.75

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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.