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Finding the Fourth Proportional to 13,091, 19,632.54 and 4,328.24

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Solution

The fourth proportional to 13,091, 19,632.54 and 4,328.24 is: 6,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091 : 19,632.54 = 4,328.24 : x
  2. Step 2: Convert to fraction form
    13,091/19,632.54 = 4,328.24/x
  3. Step 3: Cross multiply
    13,091x = 19,632.54 × 4,328.24
  4. Step 4: Simplify right side
    13,091x = 84,974,344.93
  5. Step 5: Solve for x
    x = 84,974,344.93/13,091
  6. Step 6: Final answer
    x = 6,491.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.