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Finding the Fourth Proportional to 11,117.66, 16,695.59 and 9,871.06

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Solution

The fourth proportional to 11,117.66, 16,695.59 and 9,871.06 is: 14,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.66 : 16,695.59 = 9,871.06 : x
  2. Step 2: Convert to fraction form
    11,117.66/16,695.59 = 9,871.06/x
  3. Step 3: Cross multiply
    11,117.66x = 16,695.59 × 9,871.06
  4. Step 4: Simplify right side
    11,117.66x = 164,803,170.63
  5. Step 5: Solve for x
    x = 164,803,170.63/11,117.66
  6. Step 6: Final answer
    x = 14,823.55

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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.