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Finding the Fourth Proportional to 14,541.84, 21,782.16 and 10,590.48

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Solution

The fourth proportional to 14,541.84, 21,782.16 and 10,590.48 is: 15,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541.84 : 21,782.16 = 10,590.48 : x
  2. Step 2: Convert to fraction form
    14,541.84/21,782.16 = 10,590.48/x
  3. Step 3: Cross multiply
    14,541.84x = 21,782.16 × 10,590.48
  4. Step 4: Simplify right side
    14,541.84x = 230,683,529.84
  5. Step 5: Solve for x
    x = 230,683,529.84/14,541.84
  6. Step 6: Final answer
    x = 15,863.43

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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.