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Finding the Fourth Proportional to 12,707.84, 19,017.38 and 9,700.70

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Solution

The fourth proportional to 12,707.84, 19,017.38 and 9,700.70 is: 14,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.84 : 19,017.38 = 9,700.70 : x
  2. Step 2: Convert to fraction form
    12,707.84/19,017.38 = 9,700.70/x
  3. Step 3: Cross multiply
    12,707.84x = 19,017.38 × 9,700.70
  4. Step 4: Simplify right side
    12,707.84x = 184,481,898.17
  5. Step 5: Solve for x
    x = 184,481,898.17/12,707.84
  6. Step 6: Final answer
    x = 14,517.17

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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.