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Finding the Fourth Proportional to 25,662.88, 35,417.68 and 14,484

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Solution

The fourth proportional to 25,662.88, 35,417.68 and 14,484 is: 19,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.88 : 35,417.68 = 14,484 : x
  2. Step 2: Convert to fraction form
    25,662.88/35,417.68 = 14,484/x
  3. Step 3: Cross multiply
    25,662.88x = 35,417.68 × 14,484
  4. Step 4: Simplify right side
    25,662.88x = 512,989,677.12
  5. Step 5: Solve for x
    x = 512,989,677.12/25,662.88
  6. Step 6: Final answer
    x = 19,989.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.