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Finding the Fourth Proportional to 14,148.50, 19,527.09 and 8,562.74

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Solution

The fourth proportional to 14,148.50, 19,527.09 and 8,562.74 is: 11,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.50 : 19,527.09 = 8,562.74 : x
  2. Step 2: Convert to fraction form
    14,148.50/19,527.09 = 8,562.74/x
  3. Step 3: Cross multiply
    14,148.50x = 19,527.09 × 8,562.74
  4. Step 4: Simplify right side
    14,148.50x = 167,205,394.63
  5. Step 5: Solve for x
    x = 167,205,394.63/14,148.50
  6. Step 6: Final answer
    x = 11,817.89

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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.