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Finding the Fourth Proportional to 25,051.34, 34,574.65 and 14,296.16

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Solution

The fourth proportional to 25,051.34, 34,574.65 and 14,296.16 is: 19,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051.34 : 34,574.65 = 14,296.16 : x
  2. Step 2: Convert to fraction form
    25,051.34/34,574.65 = 14,296.16/x
  3. Step 3: Cross multiply
    25,051.34x = 34,574.65 × 14,296.16
  4. Step 4: Simplify right side
    25,051.34x = 494,284,779.04
  5. Step 5: Solve for x
    x = 494,284,779.04/25,051.34
  6. Step 6: Final answer
    x = 19,730.87

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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.