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Finding the Fourth Proportional to 25,643.61, 38,465.72 and 9,004.12

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Solution

The fourth proportional to 25,643.61, 38,465.72 and 9,004.12 is: 13,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.61 : 38,465.72 = 9,004.12 : x
  2. Step 2: Convert to fraction form
    25,643.61/38,465.72 = 9,004.12/x
  3. Step 3: Cross multiply
    25,643.61x = 38,465.72 × 9,004.12
  4. Step 4: Simplify right side
    25,643.61x = 346,349,958.77
  5. Step 5: Solve for x
    x = 346,349,958.77/25,643.61
  6. Step 6: Final answer
    x = 13,506.29

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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.