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Finding the Fourth Proportional to 13,930.08, 19,223.52 and 7,642.80

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Solution

The fourth proportional to 13,930.08, 19,223.52 and 7,642.80 is: 10,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.08 : 19,223.52 = 7,642.80 : x
  2. Step 2: Convert to fraction form
    13,930.08/19,223.52 = 7,642.80/x
  3. Step 3: Cross multiply
    13,930.08x = 19,223.52 × 7,642.80
  4. Step 4: Simplify right side
    13,930.08x = 146,921,518.66
  5. Step 5: Solve for x
    x = 146,921,518.66/13,930.08
  6. Step 6: Final answer
    x = 10,547.07

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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.