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Finding the Fourth Proportional to 25,663.81, 35,414.01 and 14,332.63

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Solution

The fourth proportional to 25,663.81, 35,414.01 and 14,332.63 is: 19,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.81 : 35,414.01 = 14,332.63 : x
  2. Step 2: Convert to fraction form
    25,663.81/35,414.01 = 14,332.63/x
  3. Step 3: Cross multiply
    25,663.81x = 35,414.01 × 14,332.63
  4. Step 4: Simplify right side
    25,663.81x = 507,575,902.15
  5. Step 5: Solve for x
    x = 507,575,902.15/25,663.81
  6. Step 6: Final answer
    x = 19,777.89

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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.