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Finding the Fourth Proportional to 13,296.96, 19,864.08 and 9,567.36

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Solution

The fourth proportional to 13,296.96, 19,864.08 and 9,567.36 is: 14,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296.96 : 19,864.08 = 9,567.36 : x
  2. Step 2: Convert to fraction form
    13,296.96/19,864.08 = 9,567.36/x
  3. Step 3: Cross multiply
    13,296.96x = 19,864.08 × 9,567.36
  4. Step 4: Simplify right side
    13,296.96x = 190,046,804.43
  5. Step 5: Solve for x
    x = 190,046,804.43/13,296.96
  6. Step 6: Final answer
    x = 14,292.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.