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Finding the Fourth Proportional to 23,603.10, 32,565.69 and 14,650.98

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Solution

The fourth proportional to 23,603.10, 32,565.69 and 14,650.98 is: 20,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603.10 : 32,565.69 = 14,650.98 : x
  2. Step 2: Convert to fraction form
    23,603.10/32,565.69 = 14,650.98/x
  3. Step 3: Cross multiply
    23,603.10x = 32,565.69 × 14,650.98
  4. Step 4: Simplify right side
    23,603.10x = 477,119,272.88
  5. Step 5: Solve for x
    x = 477,119,272.88/23,603.10
  6. Step 6: Final answer
    x = 20,214.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.