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Finding the Fourth Proportional to 25,654.15, 35,402.55 and 14,323

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Solution

The fourth proportional to 25,654.15, 35,402.55 and 14,323 is: 19,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.15 : 35,402.55 = 14,323 : x
  2. Step 2: Convert to fraction form
    25,654.15/35,402.55 = 14,323/x
  3. Step 3: Cross multiply
    25,654.15x = 35,402.55 × 14,323
  4. Step 4: Simplify right side
    25,654.15x = 507,070,723.65
  5. Step 5: Solve for x
    x = 507,070,723.65/25,654.15
  6. Step 6: Final answer
    x = 19,765.64

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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.