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Finding the Fourth Proportional to 25,616.32, 38,421.01 and 6,897.48

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Solution

The fourth proportional to 25,616.32, 38,421.01 and 6,897.48 is: 10,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.32 : 38,421.01 = 6,897.48 : x
  2. Step 2: Convert to fraction form
    25,616.32/38,421.01 = 6,897.48/x
  3. Step 3: Cross multiply
    25,616.32x = 38,421.01 × 6,897.48
  4. Step 4: Simplify right side
    25,616.32x = 265,008,130.36
  5. Step 5: Solve for x
    x = 265,008,130.36/25,616.32
  6. Step 6: Final answer
    x = 10,345.28

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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.