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Finding the Fourth Proportional to 13,220.16, 18,262.80 and 10,564.08

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Solution

The fourth proportional to 13,220.16, 18,262.80 and 10,564.08 is: 14,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.16 : 18,262.80 = 10,564.08 : x
  2. Step 2: Convert to fraction form
    13,220.16/18,262.80 = 10,564.08/x
  3. Step 3: Cross multiply
    13,220.16x = 18,262.80 × 10,564.08
  4. Step 4: Simplify right side
    13,220.16x = 192,929,680.22
  5. Step 5: Solve for x
    x = 192,929,680.22/13,220.16
  6. Step 6: Final answer
    x = 14,593.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.