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Finding the Fourth Proportional to 25,588.86, 35,308.58 and 14,254.71

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Solution

The fourth proportional to 25,588.86, 35,308.58 and 14,254.71 is: 19,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588.86 : 35,308.58 = 14,254.71 : x
  2. Step 2: Convert to fraction form
    25,588.86/35,308.58 = 14,254.71/x
  3. Step 3: Cross multiply
    25,588.86x = 35,308.58 × 14,254.71
  4. Step 4: Simplify right side
    25,588.86x = 503,313,497.14
  5. Step 5: Solve for x
    x = 503,313,497.14/25,588.86
  6. Step 6: Final answer
    x = 19,669.24

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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.