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Finding the Fourth Proportional to 14,430.46, 19,914.34 and 7,970.08

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Solution

The fourth proportional to 14,430.46, 19,914.34 and 7,970.08 is: 10,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.46 : 19,914.34 = 7,970.08 : x
  2. Step 2: Convert to fraction form
    14,430.46/19,914.34 = 7,970.08/x
  3. Step 3: Cross multiply
    14,430.46x = 19,914.34 × 7,970.08
  4. Step 4: Simplify right side
    14,430.46x = 158,718,882.95
  5. Step 5: Solve for x
    x = 158,718,882.95/14,430.46
  6. Step 6: Final answer
    x = 10,998.88

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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.