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Finding the Fourth Proportional to 14,981.60, 22,478.88 and 8,048

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Solution

The fourth proportional to 14,981.60, 22,478.88 and 8,048 is: 12,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,981.60 : 22,478.88 = 8,048 : x
  2. Step 2: Convert to fraction form
    14,981.60/22,478.88 = 8,048/x
  3. Step 3: Cross multiply
    14,981.60x = 22,478.88 × 8,048
  4. Step 4: Simplify right side
    14,981.60x = 180,910,026.24
  5. Step 5: Solve for x
    x = 180,910,026.24/14,981.60
  6. Step 6: Final answer
    x = 12,075.48

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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.