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Finding the Fourth Proportional to 14,567, 21,848.64 and 4,705.26

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Solution

The fourth proportional to 14,567, 21,848.64 and 4,705.26 is: 7,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567 : 21,848.64 = 4,705.26 : x
  2. Step 2: Convert to fraction form
    14,567/21,848.64 = 4,705.26/x
  3. Step 3: Cross multiply
    14,567x = 21,848.64 × 4,705.26
  4. Step 4: Simplify right side
    14,567x = 102,803,531.85
  5. Step 5: Solve for x
    x = 102,803,531.85/14,567
  6. Step 6: Final answer
    x = 7,057.29

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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.