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Finding the Fourth Proportional to 11,417.76, 17,087.68 and 9,570.96

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Solution

The fourth proportional to 11,417.76, 17,087.68 and 9,570.96 is: 14,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.76 : 17,087.68 = 9,570.96 : x
  2. Step 2: Convert to fraction form
    11,417.76/17,087.68 = 9,570.96/x
  3. Step 3: Cross multiply
    11,417.76x = 17,087.68 × 9,570.96
  4. Step 4: Simplify right side
    11,417.76x = 163,545,501.77
  5. Step 5: Solve for x
    x = 163,545,501.77/11,417.76
  6. Step 6: Final answer
    x = 14,323.78

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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.