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Finding the Fourth Proportional to 25,666.48, 35,419.35 and 14,336.16

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Solution

The fourth proportional to 25,666.48, 35,419.35 and 14,336.16 is: 19,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.48 : 35,419.35 = 14,336.16 : x
  2. Step 2: Convert to fraction form
    25,666.48/35,419.35 = 14,336.16/x
  3. Step 3: Cross multiply
    25,666.48x = 35,419.35 × 14,336.16
  4. Step 4: Simplify right side
    25,666.48x = 507,777,468.70
  5. Step 5: Solve for x
    x = 507,777,468.70/25,666.48
  6. Step 6: Final answer
    x = 19,783.68

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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.