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Finding the Fourth Proportional to 25,477.58, 35,158.86 and 14,147.16

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Solution

The fourth proportional to 25,477.58, 35,158.86 and 14,147.16 is: 19,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.58 : 35,158.86 = 14,147.16 : x
  2. Step 2: Convert to fraction form
    25,477.58/35,158.86 = 14,147.16/x
  3. Step 3: Cross multiply
    25,477.58x = 35,158.86 × 14,147.16
  4. Step 4: Simplify right side
    25,477.58x = 497,398,017.84
  5. Step 5: Solve for x
    x = 497,398,017.84/25,477.58
  6. Step 6: Final answer
    x = 19,522.97

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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.