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Finding the Fourth Proportional to 16,419.76, 24,632.06 and 6,030.70

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Solution

The fourth proportional to 16,419.76, 24,632.06 and 6,030.70 is: 9,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.76 : 24,632.06 = 6,030.70 : x
  2. Step 2: Convert to fraction form
    16,419.76/24,632.06 = 6,030.70/x
  3. Step 3: Cross multiply
    16,419.76x = 24,632.06 × 6,030.70
  4. Step 4: Simplify right side
    16,419.76x = 148,548,564.24
  5. Step 5: Solve for x
    x = 148,548,564.24/16,419.76
  6. Step 6: Final answer
    x = 9,046.94

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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.