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Finding the Fourth Proportional to 13,810.34, 19,052.16 and 10,814.15

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Solution

The fourth proportional to 13,810.34, 19,052.16 and 10,814.15 is: 14,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.34 : 19,052.16 = 10,814.15 : x
  2. Step 2: Convert to fraction form
    13,810.34/19,052.16 = 10,814.15/x
  3. Step 3: Cross multiply
    13,810.34x = 19,052.16 × 10,814.15
  4. Step 4: Simplify right side
    13,810.34x = 206,032,916.06
  5. Step 5: Solve for x
    x = 206,032,916.06/13,810.34
  6. Step 6: Final answer
    x = 14,918.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.