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Finding the Fourth Proportional to 28,564.16, 39,418.24 and 15,989

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Solution

The fourth proportional to 28,564.16, 39,418.24 and 15,989 is: 22,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.16 : 39,418.24 = 15,989 : x
  2. Step 2: Convert to fraction form
    28,564.16/39,418.24 = 15,989/x
  3. Step 3: Cross multiply
    28,564.16x = 39,418.24 × 15,989
  4. Step 4: Simplify right side
    28,564.16x = 630,258,239.36
  5. Step 5: Solve for x
    x = 630,258,239.36/28,564.16
  6. Step 6: Final answer
    x = 22,064.65

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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.