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Finding the Fourth Proportional to 25,298.32, 34,903.56 and 14,118.16

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Solution

The fourth proportional to 25,298.32, 34,903.56 and 14,118.16 is: 19,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,298.32 : 34,903.56 = 14,118.16 : x
  2. Step 2: Convert to fraction form
    25,298.32/34,903.56 = 14,118.16/x
  3. Step 3: Cross multiply
    25,298.32x = 34,903.56 × 14,118.16
  4. Step 4: Simplify right side
    25,298.32x = 492,774,044.65
  5. Step 5: Solve for x
    x = 492,774,044.65/25,298.32
  6. Step 6: Final answer
    x = 19,478.53

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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.