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Finding the Fourth Proportional to 14,111.01, 19,471.59 and 8,140.50

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Solution

The fourth proportional to 14,111.01, 19,471.59 and 8,140.50 is: 11,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.01 : 19,471.59 = 8,140.50 : x
  2. Step 2: Convert to fraction form
    14,111.01/19,471.59 = 8,140.50/x
  3. Step 3: Cross multiply
    14,111.01x = 19,471.59 × 8,140.50
  4. Step 4: Simplify right side
    14,111.01x = 158,508,478.40
  5. Step 5: Solve for x
    x = 158,508,478.40/14,111.01
  6. Step 6: Final answer
    x = 11,232.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.