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Finding the Fourth Proportional to 13,312.50, 19,968.75 and 4,078.50

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Solution

The fourth proportional to 13,312.50, 19,968.75 and 4,078.50 is: 6,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.50 : 19,968.75 = 4,078.50 : x
  2. Step 2: Convert to fraction form
    13,312.50/19,968.75 = 4,078.50/x
  3. Step 3: Cross multiply
    13,312.50x = 19,968.75 × 4,078.50
  4. Step 4: Simplify right side
    13,312.50x = 81,442,546.88
  5. Step 5: Solve for x
    x = 81,442,546.88/13,312.50
  6. Step 6: Final answer
    x = 6,117.75

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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.