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Finding the Fourth Proportional to 25,677.55, 35,416.06 and 16,237

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Solution

The fourth proportional to 25,677.55, 35,416.06 and 16,237 is: 22,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,677.55 : 35,416.06 = 16,237 : x
  2. Step 2: Convert to fraction form
    25,677.55/35,416.06 = 16,237/x
  3. Step 3: Cross multiply
    25,677.55x = 35,416.06 × 16,237
  4. Step 4: Simplify right side
    25,677.55x = 575,050,566.22
  5. Step 5: Solve for x
    x = 575,050,566.22/25,677.55
  6. Step 6: Final answer
    x = 22,395.07

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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.