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Finding the Fourth Proportional to 13,930.16, 19,224.12 and 7,642.72

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Solution

The fourth proportional to 13,930.16, 19,224.12 and 7,642.72 is: 10,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.16 : 19,224.12 = 7,642.72 : x
  2. Step 2: Convert to fraction form
    13,930.16/19,224.12 = 7,642.72/x
  3. Step 3: Cross multiply
    13,930.16x = 19,224.12 × 7,642.72
  4. Step 4: Simplify right side
    13,930.16x = 146,924,566.41
  5. Step 5: Solve for x
    x = 146,924,566.41/13,930.16
  6. Step 6: Final answer
    x = 10,547.23

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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.