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Finding the Fourth Proportional to 13,125.78, 19,681.40 and 8,970.48

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Solution

The fourth proportional to 13,125.78, 19,681.40 and 8,970.48 is: 13,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.78 : 19,681.40 = 8,970.48 : x
  2. Step 2: Convert to fraction form
    13,125.78/19,681.40 = 8,970.48/x
  3. Step 3: Cross multiply
    13,125.78x = 19,681.40 × 8,970.48
  4. Step 4: Simplify right side
    13,125.78x = 176,551,627.50
  5. Step 5: Solve for x
    x = 176,551,627.50/13,125.78
  6. Step 6: Final answer
    x = 13,450.75

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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.