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Finding the Fourth Proportional to 13,803.68, 19,045.76 and 7,834.08

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Solution

The fourth proportional to 13,803.68, 19,045.76 and 7,834.08 is: 10,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.68 : 19,045.76 = 7,834.08 : x
  2. Step 2: Convert to fraction form
    13,803.68/19,045.76 = 7,834.08/x
  3. Step 3: Cross multiply
    13,803.68x = 19,045.76 × 7,834.08
  4. Step 4: Simplify right side
    13,803.68x = 149,206,007.50
  5. Step 5: Solve for x
    x = 149,206,007.50/13,803.68
  6. Step 6: Final answer
    x = 10,809.15

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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.