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Finding the Fourth Proportional to 15,289.98, 21,099.78 and 8,484

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Solution

The fourth proportional to 15,289.98, 21,099.78 and 8,484 is: 11,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289.98 : 21,099.78 = 8,484 : x
  2. Step 2: Convert to fraction form
    15,289.98/21,099.78 = 8,484/x
  3. Step 3: Cross multiply
    15,289.98x = 21,099.78 × 8,484
  4. Step 4: Simplify right side
    15,289.98x = 179,010,533.52
  5. Step 5: Solve for x
    x = 179,010,533.52/15,289.98
  6. Step 6: Final answer
    x = 11,707.70

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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.