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Finding the Fourth Proportional to 14,389.10, 21,585.09 and 5,152.94

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Solution

The fourth proportional to 14,389.10, 21,585.09 and 5,152.94 is: 7,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.10 : 21,585.09 = 5,152.94 : x
  2. Step 2: Convert to fraction form
    14,389.10/21,585.09 = 5,152.94/x
  3. Step 3: Cross multiply
    14,389.10x = 21,585.09 × 5,152.94
  4. Step 4: Simplify right side
    14,389.10x = 111,226,673.66
  5. Step 5: Solve for x
    x = 111,226,673.66/14,389.10
  6. Step 6: Final answer
    x = 7,729.93

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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.