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Finding the Fourth Proportional to 11,347.76, 16,988.76 and 9,477.87

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Solution

The fourth proportional to 11,347.76, 16,988.76 and 9,477.87 is: 14,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.76 : 16,988.76 = 9,477.87 : x
  2. Step 2: Convert to fraction form
    11,347.76/16,988.76 = 9,477.87/x
  3. Step 3: Cross multiply
    11,347.76x = 16,988.76 × 9,477.87
  4. Step 4: Simplify right side
    11,347.76x = 161,017,258.74
  5. Step 5: Solve for x
    x = 161,017,258.74/11,347.76
  6. Step 6: Final answer
    x = 14,189.34

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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.