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Finding the Fourth Proportional to 14,523.18, 21,780 and 4,660.10

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Solution

The fourth proportional to 14,523.18, 21,780 and 4,660.10 is: 6,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.18 : 21,780 = 4,660.10 : x
  2. Step 2: Convert to fraction form
    14,523.18/21,780 = 4,660.10/x
  3. Step 3: Cross multiply
    14,523.18x = 21,780 × 4,660.10
  4. Step 4: Simplify right side
    14,523.18x = 101,496,978.00
  5. Step 5: Solve for x
    x = 101,496,978.00/14,523.18
  6. Step 6: Final answer
    x = 6,988.62

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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.