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Finding the Fourth Proportional to 14,078.10, 19,426.88 and 7,790.46

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Solution

The fourth proportional to 14,078.10, 19,426.88 and 7,790.46 is: 10,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.10 : 19,426.88 = 7,790.46 : x
  2. Step 2: Convert to fraction form
    14,078.10/19,426.88 = 7,790.46/x
  3. Step 3: Cross multiply
    14,078.10x = 19,426.88 × 7,790.46
  4. Step 4: Simplify right side
    14,078.10x = 151,344,292.61
  5. Step 5: Solve for x
    x = 151,344,292.61/14,078.10
  6. Step 6: Final answer
    x = 10,750.34

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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.