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Finding the Fourth Proportional to 14,110.13, 19,472.18 and 7,822.50

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Solution

The fourth proportional to 14,110.13, 19,472.18 and 7,822.50 is: 10,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.13 : 19,472.18 = 7,822.50 : x
  2. Step 2: Convert to fraction form
    14,110.13/19,472.18 = 7,822.50/x
  3. Step 3: Cross multiply
    14,110.13x = 19,472.18 × 7,822.50
  4. Step 4: Simplify right side
    14,110.13x = 152,321,088.94
  5. Step 5: Solve for x
    x = 152,321,088.94/14,110.13
  6. Step 6: Final answer
    x = 10,795.16

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Why These Related Problems?

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