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Finding the Fourth Proportional to 14,809.71, 20,437.37 and 8,436.30

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Solution

The fourth proportional to 14,809.71, 20,437.37 and 8,436.30 is: 11,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.71 : 20,437.37 = 8,436.30 : x
  2. Step 2: Convert to fraction form
    14,809.71/20,437.37 = 8,436.30/x
  3. Step 3: Cross multiply
    14,809.71x = 20,437.37 × 8,436.30
  4. Step 4: Simplify right side
    14,809.71x = 172,415,784.53
  5. Step 5: Solve for x
    x = 172,415,784.53/14,809.71
  6. Step 6: Final answer
    x = 11,642.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.