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Finding the Fourth Proportional to 24,704.34, 34,094.84 and 14,095.50

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Solution

The fourth proportional to 24,704.34, 34,094.84 and 14,095.50 is: 19,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.34 : 34,094.84 = 14,095.50 : x
  2. Step 2: Convert to fraction form
    24,704.34/34,094.84 = 14,095.50/x
  3. Step 3: Cross multiply
    24,704.34x = 34,094.84 × 14,095.50
  4. Step 4: Simplify right side
    24,704.34x = 480,583,746.74
  5. Step 5: Solve for x
    x = 480,583,746.74/24,704.34
  6. Step 6: Final answer
    x = 19,453.41

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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.