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Finding the Fourth Proportional to 15,598.80, 23,389.76 and 6,823.46

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Solution

The fourth proportional to 15,598.80, 23,389.76 and 6,823.46 is: 10,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,598.80 : 23,389.76 = 6,823.46 : x
  2. Step 2: Convert to fraction form
    15,598.80/23,389.76 = 6,823.46/x
  3. Step 3: Cross multiply
    15,598.80x = 23,389.76 × 6,823.46
  4. Step 4: Simplify right side
    15,598.80x = 159,599,091.77
  5. Step 5: Solve for x
    x = 159,599,091.77/15,598.80
  6. Step 6: Final answer
    x = 10,231.50

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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.