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Finding the Fourth Proportional to 30,259.64, 45,389.50 and 13,616.57

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Solution

The fourth proportional to 30,259.64, 45,389.50 and 13,616.57 is: 20,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.64 : 45,389.50 = 13,616.57 : x
  2. Step 2: Convert to fraction form
    30,259.64/45,389.50 = 13,616.57/x
  3. Step 3: Cross multiply
    30,259.64x = 45,389.50 × 13,616.57
  4. Step 4: Simplify right side
    30,259.64x = 618,049,383.45
  5. Step 5: Solve for x
    x = 618,049,383.45/30,259.64
  6. Step 6: Final answer
    x = 20,424.87

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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.