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Finding the Fourth Proportional to 14,652.84, 21,916.47 and 13,589.25

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Solution

The fourth proportional to 14,652.84, 21,916.47 and 13,589.25 is: 20,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.84 : 21,916.47 = 13,589.25 : x
  2. Step 2: Convert to fraction form
    14,652.84/21,916.47 = 13,589.25/x
  3. Step 3: Cross multiply
    14,652.84x = 21,916.47 × 13,589.25
  4. Step 4: Simplify right side
    14,652.84x = 297,828,280.37
  5. Step 5: Solve for x
    x = 297,828,280.37/14,652.84
  6. Step 6: Final answer
    x = 20,325.63

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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.