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Finding the Fourth Proportional to 13,223.64, 19,838.46 and 7,681.60

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Solution

The fourth proportional to 13,223.64, 19,838.46 and 7,681.60 is: 11,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.64 : 19,838.46 = 7,681.60 : x
  2. Step 2: Convert to fraction form
    13,223.64/19,838.46 = 7,681.60/x
  3. Step 3: Cross multiply
    13,223.64x = 19,838.46 × 7,681.60
  4. Step 4: Simplify right side
    13,223.64x = 152,391,114.34
  5. Step 5: Solve for x
    x = 152,391,114.34/13,223.64
  6. Step 6: Final answer
    x = 11,524.14

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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.