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Finding the Fourth Proportional to 14,210.49, 19,610.02 and 7,837.35

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Solution

The fourth proportional to 14,210.49, 19,610.02 and 7,837.35 is: 10,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.49 : 19,610.02 = 7,837.35 : x
  2. Step 2: Convert to fraction form
    14,210.49/19,610.02 = 7,837.35/x
  3. Step 3: Cross multiply
    14,210.49x = 19,610.02 × 7,837.35
  4. Step 4: Simplify right side
    14,210.49x = 153,690,590.25
  5. Step 5: Solve for x
    x = 153,690,590.25/14,210.49
  6. Step 6: Final answer
    x = 10,815.29

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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.