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Finding the Fourth Proportional to 15,607, 23,412.83 and 5,745.52

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Solution

The fourth proportional to 15,607, 23,412.83 and 5,745.52 is: 8,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607 : 23,412.83 = 5,745.52 : x
  2. Step 2: Convert to fraction form
    15,607/23,412.83 = 5,745.52/x
  3. Step 3: Cross multiply
    15,607x = 23,412.83 × 5,745.52
  4. Step 4: Simplify right side
    15,607x = 134,518,883.02
  5. Step 5: Solve for x
    x = 134,518,883.02/15,607
  6. Step 6: Final answer
    x = 8,619.14

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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.