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Finding the Fourth Proportional to 13,883.76, 19,160 and 7,596.52

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Solution

The fourth proportional to 13,883.76, 19,160 and 7,596.52 is: 10,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.76 : 19,160 = 7,596.52 : x
  2. Step 2: Convert to fraction form
    13,883.76/19,160 = 7,596.52/x
  3. Step 3: Cross multiply
    13,883.76x = 19,160 × 7,596.52
  4. Step 4: Simplify right side
    13,883.76x = 145,549,323.20
  5. Step 5: Solve for x
    x = 145,549,323.20/13,883.76
  6. Step 6: Final answer
    x = 10,483.42

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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.