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Finding the Fourth Proportional to 25,614.04, 38,421.06 and 6,894.12

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Solution

The fourth proportional to 25,614.04, 38,421.06 and 6,894.12 is: 10,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.04 : 38,421.06 = 6,894.12 : x
  2. Step 2: Convert to fraction form
    25,614.04/38,421.06 = 6,894.12/x
  3. Step 3: Cross multiply
    25,614.04x = 38,421.06 × 6,894.12
  4. Step 4: Simplify right side
    25,614.04x = 264,879,398.17
  5. Step 5: Solve for x
    x = 264,879,398.17/25,614.04
  6. Step 6: Final answer
    x = 10,341.18

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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.