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Finding the Fourth Proportional to 14,604, 21,921.60 and 6,288.14

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Solution

The fourth proportional to 14,604, 21,921.60 and 6,288.14 is: 9,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604 : 21,921.60 = 6,288.14 : x
  2. Step 2: Convert to fraction form
    14,604/21,921.60 = 6,288.14/x
  3. Step 3: Cross multiply
    14,604x = 21,921.60 × 6,288.14
  4. Step 4: Simplify right side
    14,604x = 137,845,980.22
  5. Step 5: Solve for x
    x = 137,845,980.22/14,604
  6. Step 6: Final answer
    x = 9,438.92

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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.