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Finding the Fourth Proportional to 14,501.40, 21,752.10 and 8,159.10

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Solution

The fourth proportional to 14,501.40, 21,752.10 and 8,159.10 is: 12,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.40 : 21,752.10 = 8,159.10 : x
  2. Step 2: Convert to fraction form
    14,501.40/21,752.10 = 8,159.10/x
  3. Step 3: Cross multiply
    14,501.40x = 21,752.10 × 8,159.10
  4. Step 4: Simplify right side
    14,501.40x = 177,477,559.11
  5. Step 5: Solve for x
    x = 177,477,559.11/14,501.40
  6. Step 6: Final answer
    x = 12,238.65

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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.