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Finding the Fourth Proportional to 14,603.76, 21,889.85 and 5,829.03

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Solution

The fourth proportional to 14,603.76, 21,889.85 and 5,829.03 is: 8,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.76 : 21,889.85 = 5,829.03 : x
  2. Step 2: Convert to fraction form
    14,603.76/21,889.85 = 5,829.03/x
  3. Step 3: Cross multiply
    14,603.76x = 21,889.85 × 5,829.03
  4. Step 4: Simplify right side
    14,603.76x = 127,596,563.20
  5. Step 5: Solve for x
    x = 127,596,563.20/14,603.76
  6. Step 6: Final answer
    x = 8,737.24

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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.