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Finding the Fourth Proportional to 14,658.42, 21,987.63 and 3,565.11

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Solution

The fourth proportional to 14,658.42, 21,987.63 and 3,565.11 is: 5,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.42 : 21,987.63 = 3,565.11 : x
  2. Step 2: Convert to fraction form
    14,658.42/21,987.63 = 3,565.11/x
  3. Step 3: Cross multiply
    14,658.42x = 21,987.63 × 3,565.11
  4. Step 4: Simplify right side
    14,658.42x = 78,388,392.02
  5. Step 5: Solve for x
    x = 78,388,392.02/14,658.42
  6. Step 6: Final answer
    x = 5,347.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.