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Finding the Fourth Proportional to 27,156.21, 40,737.14 and 7,434.77

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Solution

The fourth proportional to 27,156.21, 40,737.14 and 7,434.77 is: 11,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,156.21 : 40,737.14 = 7,434.77 : x
  2. Step 2: Convert to fraction form
    27,156.21/40,737.14 = 7,434.77/x
  3. Step 3: Cross multiply
    27,156.21x = 40,737.14 × 7,434.77
  4. Step 4: Simplify right side
    27,156.21x = 302,871,266.36
  5. Step 5: Solve for x
    x = 302,871,266.36/27,156.21
  6. Step 6: Final answer
    x = 11,152.93

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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.