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Finding the Fourth Proportional to 13,134.72, 19,706.07 and 7,875.57

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Solution

The fourth proportional to 13,134.72, 19,706.07 and 7,875.57 is: 11,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.72 : 19,706.07 = 7,875.57 : x
  2. Step 2: Convert to fraction form
    13,134.72/19,706.07 = 7,875.57/x
  3. Step 3: Cross multiply
    13,134.72x = 19,706.07 × 7,875.57
  4. Step 4: Simplify right side
    13,134.72x = 155,196,533.71
  5. Step 5: Solve for x
    x = 155,196,533.71/13,134.72
  6. Step 6: Final answer
    x = 11,815.75

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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.