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Finding the Fourth Proportional to 12,533.47, 18,800.16 and 5,603.11

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Solution

The fourth proportional to 12,533.47, 18,800.16 and 5,603.11 is: 8,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.47 : 18,800.16 = 5,603.11 : x
  2. Step 2: Convert to fraction form
    12,533.47/18,800.16 = 5,603.11/x
  3. Step 3: Cross multiply
    12,533.47x = 18,800.16 × 5,603.11
  4. Step 4: Simplify right side
    12,533.47x = 105,339,364.50
  5. Step 5: Solve for x
    x = 105,339,364.50/12,533.47
  6. Step 6: Final answer
    x = 8,404.64

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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.