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Finding the Fourth Proportional to 13,275.71, 19,925.87 and 6,706.51

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Solution

The fourth proportional to 13,275.71, 19,925.87 and 6,706.51 is: 10,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275.71 : 19,925.87 = 6,706.51 : x
  2. Step 2: Convert to fraction form
    13,275.71/19,925.87 = 6,706.51/x
  3. Step 3: Cross multiply
    13,275.71x = 19,925.87 × 6,706.51
  4. Step 4: Simplify right side
    13,275.71x = 133,633,046.41
  5. Step 5: Solve for x
    x = 133,633,046.41/13,275.71
  6. Step 6: Final answer
    x = 10,065.98

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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.