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Finding the Fourth Proportional to 14,458.68, 21,657.78 and 9,238.04

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Solution

The fourth proportional to 14,458.68, 21,657.78 and 9,238.04 is: 13,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.68 : 21,657.78 = 9,238.04 : x
  2. Step 2: Convert to fraction form
    14,458.68/21,657.78 = 9,238.04/x
  3. Step 3: Cross multiply
    14,458.68x = 21,657.78 × 9,238.04
  4. Step 4: Simplify right side
    14,458.68x = 200,075,437.95
  5. Step 5: Solve for x
    x = 200,075,437.95/14,458.68
  6. Step 6: Final answer
    x = 13,837.74

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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.