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Finding the Fourth Proportional to 12,421.96, 18,633.65 and 5,026.25

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Solution

The fourth proportional to 12,421.96, 18,633.65 and 5,026.25 is: 7,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.96 : 18,633.65 = 5,026.25 : x
  2. Step 2: Convert to fraction form
    12,421.96/18,633.65 = 5,026.25/x
  3. Step 3: Cross multiply
    12,421.96x = 18,633.65 × 5,026.25
  4. Step 4: Simplify right side
    12,421.96x = 93,657,404.77
  5. Step 5: Solve for x
    x = 93,657,404.77/12,421.96
  6. Step 6: Final answer
    x = 7,539.67

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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.