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Finding the Fourth Proportional to 15,156.81, 22,741.83 and 5,303.16

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Solution

The fourth proportional to 15,156.81, 22,741.83 and 5,303.16 is: 7,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156.81 : 22,741.83 = 5,303.16 : x
  2. Step 2: Convert to fraction form
    15,156.81/22,741.83 = 5,303.16/x
  3. Step 3: Cross multiply
    15,156.81x = 22,741.83 × 5,303.16
  4. Step 4: Simplify right side
    15,156.81x = 120,603,563.18
  5. Step 5: Solve for x
    x = 120,603,563.18/15,156.81
  6. Step 6: Final answer
    x = 7,957.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.