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Finding the Fourth Proportional to 13,012.42, 19,515.71 and 5,985.68

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Solution

The fourth proportional to 13,012.42, 19,515.71 and 5,985.68 is: 8,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.42 : 19,515.71 = 5,985.68 : x
  2. Step 2: Convert to fraction form
    13,012.42/19,515.71 = 5,985.68/x
  3. Step 3: Cross multiply
    13,012.42x = 19,515.71 × 5,985.68
  4. Step 4: Simplify right side
    13,012.42x = 116,814,828.86
  5. Step 5: Solve for x
    x = 116,814,828.86/13,012.42
  6. Step 6: Final answer
    x = 8,977.18

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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.