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Finding the Fourth Proportional to 14,425.24, 21,641.68 and 4,564.68

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Solution

The fourth proportional to 14,425.24, 21,641.68 and 4,564.68 is: 6,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.24 : 21,641.68 = 4,564.68 : x
  2. Step 2: Convert to fraction form
    14,425.24/21,641.68 = 4,564.68/x
  3. Step 3: Cross multiply
    14,425.24x = 21,641.68 × 4,564.68
  4. Step 4: Simplify right side
    14,425.24x = 98,787,343.86
  5. Step 5: Solve for x
    x = 98,787,343.86/14,425.24
  6. Step 6: Final answer
    x = 6,848.23

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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.