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Finding the Fourth Proportional to 15,776.48, 23,669.20 and 6,423.21

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Solution

The fourth proportional to 15,776.48, 23,669.20 and 6,423.21 is: 9,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.48 : 23,669.20 = 6,423.21 : x
  2. Step 2: Convert to fraction form
    15,776.48/23,669.20 = 6,423.21/x
  3. Step 3: Cross multiply
    15,776.48x = 23,669.20 × 6,423.21
  4. Step 4: Simplify right side
    15,776.48x = 152,032,268.23
  5. Step 5: Solve for x
    x = 152,032,268.23/15,776.48
  6. Step 6: Final answer
    x = 9,636.64

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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.