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Finding the Fourth Proportional to 14,657.44, 21,988.32 and 4,270

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Solution

The fourth proportional to 14,657.44, 21,988.32 and 4,270 is: 6,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.44 : 21,988.32 = 4,270 : x
  2. Step 2: Convert to fraction form
    14,657.44/21,988.32 = 4,270/x
  3. Step 3: Cross multiply
    14,657.44x = 21,988.32 × 4,270
  4. Step 4: Simplify right side
    14,657.44x = 93,890,126.40
  5. Step 5: Solve for x
    x = 93,890,126.40/14,657.44
  6. Step 6: Final answer
    x = 6,405.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.