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Finding the Fourth Proportional to 12,970.13, 19,491.74 and 7,706.14

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Solution

The fourth proportional to 12,970.13, 19,491.74 and 7,706.14 is: 11,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.13 : 19,491.74 = 7,706.14 : x
  2. Step 2: Convert to fraction form
    12,970.13/19,491.74 = 7,706.14/x
  3. Step 3: Cross multiply
    12,970.13x = 19,491.74 × 7,706.14
  4. Step 4: Simplify right side
    12,970.13x = 150,206,018.92
  5. Step 5: Solve for x
    x = 150,206,018.92/12,970.13
  6. Step 6: Final answer
    x = 11,580.92

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