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Finding the Fourth Proportional to 12,156.64, 16,776.34 and 7,440.93

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Solution

The fourth proportional to 12,156.64, 16,776.34 and 7,440.93 is: 10,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.64 : 16,776.34 = 7,440.93 : x
  2. Step 2: Convert to fraction form
    12,156.64/16,776.34 = 7,440.93/x
  3. Step 3: Cross multiply
    12,156.64x = 16,776.34 × 7,440.93
  4. Step 4: Simplify right side
    12,156.64x = 124,831,503.15
  5. Step 5: Solve for x
    x = 124,831,503.15/12,156.64
  6. Step 6: Final answer
    x = 10,268.58

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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.