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Finding the Fourth Proportional to 25,666.97, 35,420.05 and 14,336.63

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Solution

The fourth proportional to 25,666.97, 35,420.05 and 14,336.63 is: 19,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.97 : 35,420.05 = 14,336.63 : x
  2. Step 2: Convert to fraction form
    25,666.97/35,420.05 = 14,336.63/x
  3. Step 3: Cross multiply
    25,666.97x = 35,420.05 × 14,336.63
  4. Step 4: Simplify right side
    25,666.97x = 507,804,151.43
  5. Step 5: Solve for x
    x = 507,804,151.43/25,666.97
  6. Step 6: Final answer
    x = 19,784.34

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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.