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Finding the Fourth Proportional to 13,875.76, 19,147.53 and 8,570.68

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Solution

The fourth proportional to 13,875.76, 19,147.53 and 8,570.68 is: 11,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.76 : 19,147.53 = 8,570.68 : x
  2. Step 2: Convert to fraction form
    13,875.76/19,147.53 = 8,570.68/x
  3. Step 3: Cross multiply
    13,875.76x = 19,147.53 × 8,570.68
  4. Step 4: Simplify right side
    13,875.76x = 164,107,352.42
  5. Step 5: Solve for x
    x = 164,107,352.42/13,875.76
  6. Step 6: Final answer
    x = 11,826.91

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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.