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Finding the Fourth Proportional to 25,599.16, 35,322.78 and 14,419

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Solution

The fourth proportional to 25,599.16, 35,322.78 and 14,419 is: 19,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,599.16 : 35,322.78 = 14,419 : x
  2. Step 2: Convert to fraction form
    25,599.16/35,322.78 = 14,419/x
  3. Step 3: Cross multiply
    25,599.16x = 35,322.78 × 14,419
  4. Step 4: Simplify right side
    25,599.16x = 509,319,164.82
  5. Step 5: Solve for x
    x = 509,319,164.82/25,599.16
  6. Step 6: Final answer
    x = 19,895.93

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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.