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Finding the Fourth Proportional to 14,580.18, 21,870.41 and 8,002.80

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Solution

The fourth proportional to 14,580.18, 21,870.41 and 8,002.80 is: 12,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.18 : 21,870.41 = 8,002.80 : x
  2. Step 2: Convert to fraction form
    14,580.18/21,870.41 = 8,002.80/x
  3. Step 3: Cross multiply
    14,580.18x = 21,870.41 × 8,002.80
  4. Step 4: Simplify right side
    14,580.18x = 175,024,477.13
  5. Step 5: Solve for x
    x = 175,024,477.13/14,580.18
  6. Step 6: Final answer
    x = 12,004.27

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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.