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Finding the Fourth Proportional to 22,016.58, 32,943 and 13,136.67

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Solution

The fourth proportional to 22,016.58, 32,943 and 13,136.67 is: 19,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016.58 : 32,943 = 13,136.67 : x
  2. Step 2: Convert to fraction form
    22,016.58/32,943 = 13,136.67/x
  3. Step 3: Cross multiply
    22,016.58x = 32,943 × 13,136.67
  4. Step 4: Simplify right side
    22,016.58x = 432,761,319.81
  5. Step 5: Solve for x
    x = 432,761,319.81/22,016.58
  6. Step 6: Final answer
    x = 19,656.16

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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.