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Finding the Fourth Proportional to 13,929.16, 19,222.74 and 7,641.72

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Solution

The fourth proportional to 13,929.16, 19,222.74 and 7,641.72 is: 10,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.16 : 19,222.74 = 7,641.72 : x
  2. Step 2: Convert to fraction form
    13,929.16/19,222.74 = 7,641.72/x
  3. Step 3: Cross multiply
    13,929.16x = 19,222.74 × 7,641.72
  4. Step 4: Simplify right side
    13,929.16x = 146,894,796.71
  5. Step 5: Solve for x
    x = 146,894,796.71/13,929.16
  6. Step 6: Final answer
    x = 10,545.85

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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.