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Finding the Fourth Proportional to 18,970.02, 28,459.20 and 5,823.48

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Solution

The fourth proportional to 18,970.02, 28,459.20 and 5,823.48 is: 8,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.02 : 28,459.20 = 5,823.48 : x
  2. Step 2: Convert to fraction form
    18,970.02/28,459.20 = 5,823.48/x
  3. Step 3: Cross multiply
    18,970.02x = 28,459.20 × 5,823.48
  4. Step 4: Simplify right side
    18,970.02x = 165,731,582.02
  5. Step 5: Solve for x
    x = 165,731,582.02/18,970.02
  6. Step 6: Final answer
    x = 8,736.50

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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.