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Finding the Fourth Proportional to 13,920.19, 19,209.46 and 7,951.74

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Solution

The fourth proportional to 13,920.19, 19,209.46 and 7,951.74 is: 10,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.19 : 19,209.46 = 7,951.74 : x
  2. Step 2: Convert to fraction form
    13,920.19/19,209.46 = 7,951.74/x
  3. Step 3: Cross multiply
    13,920.19x = 19,209.46 × 7,951.74
  4. Step 4: Simplify right side
    13,920.19x = 152,748,631.46
  5. Step 5: Solve for x
    x = 152,748,631.46/13,920.19
  6. Step 6: Final answer
    x = 10,973.17

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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.