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Finding the Fourth Proportional to 14,437.32, 21,646.38 and 5,202.12

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Solution

The fourth proportional to 14,437.32, 21,646.38 and 5,202.12 is: 7,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.32 : 21,646.38 = 5,202.12 : x
  2. Step 2: Convert to fraction form
    14,437.32/21,646.38 = 5,202.12/x
  3. Step 3: Cross multiply
    14,437.32x = 21,646.38 × 5,202.12
  4. Step 4: Simplify right side
    14,437.32x = 112,607,066.33
  5. Step 5: Solve for x
    x = 112,607,066.33/14,437.32
  6. Step 6: Final answer
    x = 7,799.72

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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.