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Finding the Fourth Proportional to 25,561.16, 35,274.66 and 14,381

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Solution

The fourth proportional to 25,561.16, 35,274.66 and 14,381 is: 19,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.16 : 35,274.66 = 14,381 : x
  2. Step 2: Convert to fraction form
    25,561.16/35,274.66 = 14,381/x
  3. Step 3: Cross multiply
    25,561.16x = 35,274.66 × 14,381
  4. Step 4: Simplify right side
    25,561.16x = 507,284,885.46
  5. Step 5: Solve for x
    x = 507,284,885.46/25,561.16
  6. Step 6: Final answer
    x = 19,845.93

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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.