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Finding the Fourth Proportional to 25,045.34, 34,566.37 and 14,290.16

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Solution

The fourth proportional to 25,045.34, 34,566.37 and 14,290.16 is: 19,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,045.34 : 34,566.37 = 14,290.16 : x
  2. Step 2: Convert to fraction form
    25,045.34/34,566.37 = 14,290.16/x
  3. Step 3: Cross multiply
    25,045.34x = 34,566.37 × 14,290.16
  4. Step 4: Simplify right side
    25,045.34x = 493,959,008.61
  5. Step 5: Solve for x
    x = 493,959,008.61/25,045.34
  6. Step 6: Final answer
    x = 19,722.59

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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.