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Finding the Fourth Proportional to 13,206.71, 18,225.47 and 7,901.75

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Solution

The fourth proportional to 13,206.71, 18,225.47 and 7,901.75 is: 10,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.71 : 18,225.47 = 7,901.75 : x
  2. Step 2: Convert to fraction form
    13,206.71/18,225.47 = 7,901.75/x
  3. Step 3: Cross multiply
    13,206.71x = 18,225.47 × 7,901.75
  4. Step 4: Simplify right side
    13,206.71x = 144,013,068.06
  5. Step 5: Solve for x
    x = 144,013,068.06/13,206.71
  6. Step 6: Final answer
    x = 10,904.54

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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.