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Finding the Fourth Proportional to 13,295.35, 19,948.91 and 6,968.72

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Solution

The fourth proportional to 13,295.35, 19,948.91 and 6,968.72 is: 10,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.35 : 19,948.91 = 6,968.72 : x
  2. Step 2: Convert to fraction form
    13,295.35/19,948.91 = 6,968.72/x
  3. Step 3: Cross multiply
    13,295.35x = 19,948.91 × 6,968.72
  4. Step 4: Simplify right side
    13,295.35x = 139,018,462.50
  5. Step 5: Solve for x
    x = 139,018,462.50/13,295.35
  6. Step 6: Final answer
    x = 10,456.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.