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Finding the Fourth Proportional to 25,411.42, 38,094.42 and 12,924.46

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Solution

The fourth proportional to 25,411.42, 38,094.42 and 12,924.46 is: 19,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,411.42 : 38,094.42 = 12,924.46 : x
  2. Step 2: Convert to fraction form
    25,411.42/38,094.42 = 12,924.46/x
  3. Step 3: Cross multiply
    25,411.42x = 38,094.42 × 12,924.46
  4. Step 4: Simplify right side
    25,411.42x = 492,349,807.51
  5. Step 5: Solve for x
    x = 492,349,807.51/25,411.42
  6. Step 6: Final answer
    x = 19,375.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.