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Finding the Fourth Proportional to 13,970.75, 19,278.02 and 8,002.07

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Solution

The fourth proportional to 13,970.75, 19,278.02 and 8,002.07 is: 11,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.75 : 19,278.02 = 8,002.07 : x
  2. Step 2: Convert to fraction form
    13,970.75/19,278.02 = 8,002.07/x
  3. Step 3: Cross multiply
    13,970.75x = 19,278.02 × 8,002.07
  4. Step 4: Simplify right side
    13,970.75x = 154,264,065.50
  5. Step 5: Solve for x
    x = 154,264,065.50/13,970.75
  6. Step 6: Final answer
    x = 11,041.93

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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.