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Finding the Fourth Proportional to 21,688.70, 32,533.59 and 6,106.22

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Solution

The fourth proportional to 21,688.70, 32,533.59 and 6,106.22 is: 9,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.70 : 32,533.59 = 6,106.22 : x
  2. Step 2: Convert to fraction form
    21,688.70/32,533.59 = 6,106.22/x
  3. Step 3: Cross multiply
    21,688.70x = 32,533.59 × 6,106.22
  4. Step 4: Simplify right side
    21,688.70x = 198,657,257.93
  5. Step 5: Solve for x
    x = 198,657,257.93/21,688.70
  6. Step 6: Final answer
    x = 9,159.48

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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.