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Finding the Fourth Proportional to 14,151.22, 19,529.91 and 7,864

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Solution

The fourth proportional to 14,151.22, 19,529.91 and 7,864 is: 10,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.22 : 19,529.91 = 7,864 : x
  2. Step 2: Convert to fraction form
    14,151.22/19,529.91 = 7,864/x
  3. Step 3: Cross multiply
    14,151.22x = 19,529.91 × 7,864
  4. Step 4: Simplify right side
    14,151.22x = 153,583,212.24
  5. Step 5: Solve for x
    x = 153,583,212.24/14,151.22
  6. Step 6: Final answer
    x = 10,853.00

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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.