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Finding the Fourth Proportional to 15,140.16, 22,707 and 4,607.82

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Solution

The fourth proportional to 15,140.16, 22,707 and 4,607.82 is: 6,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.16 : 22,707 = 4,607.82 : x
  2. Step 2: Convert to fraction form
    15,140.16/22,707 = 4,607.82/x
  3. Step 3: Cross multiply
    15,140.16x = 22,707 × 4,607.82
  4. Step 4: Simplify right side
    15,140.16x = 104,629,768.74
  5. Step 5: Solve for x
    x = 104,629,768.74/15,140.16
  6. Step 6: Final answer
    x = 6,910.74

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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.