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Finding the Fourth Proportional to 14,397.96, 19,870.77 and 8,732.40

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Solution

The fourth proportional to 14,397.96, 19,870.77 and 8,732.40 is: 12,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.96 : 19,870.77 = 8,732.40 : x
  2. Step 2: Convert to fraction form
    14,397.96/19,870.77 = 8,732.40/x
  3. Step 3: Cross multiply
    14,397.96x = 19,870.77 × 8,732.40
  4. Step 4: Simplify right side
    14,397.96x = 173,519,511.95
  5. Step 5: Solve for x
    x = 173,519,511.95/14,397.96
  6. Step 6: Final answer
    x = 12,051.67

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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.