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Finding the Fourth Proportional to 14,561.60, 21,840 and 6,242.96

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Solution

The fourth proportional to 14,561.60, 21,840 and 6,242.96 is: 9,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.60 : 21,840 = 6,242.96 : x
  2. Step 2: Convert to fraction form
    14,561.60/21,840 = 6,242.96/x
  3. Step 3: Cross multiply
    14,561.60x = 21,840 × 6,242.96
  4. Step 4: Simplify right side
    14,561.60x = 136,346,246.40
  5. Step 5: Solve for x
    x = 136,346,246.40/14,561.60
  6. Step 6: Final answer
    x = 9,363.41

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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.