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Finding the Fourth Proportional to 14,756.41, 22,138.68 and 6,437.14

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Solution

The fourth proportional to 14,756.41, 22,138.68 and 6,437.14 is: 9,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.41 : 22,138.68 = 6,437.14 : x
  2. Step 2: Convert to fraction form
    14,756.41/22,138.68 = 6,437.14/x
  3. Step 3: Cross multiply
    14,756.41x = 22,138.68 × 6,437.14
  4. Step 4: Simplify right side
    14,756.41x = 142,509,782.58
  5. Step 5: Solve for x
    x = 142,509,782.58/14,756.41
  6. Step 6: Final answer
    x = 9,657.48

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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.