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Finding the Fourth Proportional to 21,838.40, 32,762.88 and 10,160

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Solution

The fourth proportional to 21,838.40, 32,762.88 and 10,160 is: 15,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.40 : 32,762.88 = 10,160 : x
  2. Step 2: Convert to fraction form
    21,838.40/32,762.88 = 10,160/x
  3. Step 3: Cross multiply
    21,838.40x = 32,762.88 × 10,160
  4. Step 4: Simplify right side
    21,838.40x = 332,870,860.80
  5. Step 5: Solve for x
    x = 332,870,860.80/21,838.40
  6. Step 6: Final answer
    x = 15,242.46

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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.