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Finding the Fourth Proportional to 23,776.64, 32,802.40 and 15,277.49

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Solution

The fourth proportional to 23,776.64, 32,802.40 and 15,277.49 is: 21,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.64 : 32,802.40 = 15,277.49 : x
  2. Step 2: Convert to fraction form
    23,776.64/32,802.40 = 15,277.49/x
  3. Step 3: Cross multiply
    23,776.64x = 32,802.40 × 15,277.49
  4. Step 4: Simplify right side
    23,776.64x = 501,138,337.98
  5. Step 5: Solve for x
    x = 501,138,337.98/23,776.64
  6. Step 6: Final answer
    x = 21,076.92

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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.