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Finding the Fourth Proportional to 25,302.32, 34,909.08 and 14,122.16

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Solution

The fourth proportional to 25,302.32, 34,909.08 and 14,122.16 is: 19,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302.32 : 34,909.08 = 14,122.16 : x
  2. Step 2: Convert to fraction form
    25,302.32/34,909.08 = 14,122.16/x
  3. Step 3: Cross multiply
    25,302.32x = 34,909.08 × 14,122.16
  4. Step 4: Simplify right side
    25,302.32x = 492,991,613.21
  5. Step 5: Solve for x
    x = 492,991,613.21/25,302.32
  6. Step 6: Final answer
    x = 19,484.05

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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.