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Finding the Fourth Proportional to 25,875.68, 35,708.40 and 14,697.44

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Solution

The fourth proportional to 25,875.68, 35,708.40 and 14,697.44 is: 20,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875.68 : 35,708.40 = 14,697.44 : x
  2. Step 2: Convert to fraction form
    25,875.68/35,708.40 = 14,697.44/x
  3. Step 3: Cross multiply
    25,875.68x = 35,708.40 × 14,697.44
  4. Step 4: Simplify right side
    25,875.68x = 524,822,066.50
  5. Step 5: Solve for x
    x = 524,822,066.50/25,875.68
  6. Step 6: Final answer
    x = 20,282.45

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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.