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Finding the Fourth Proportional to 24,430.75, 33,714.44 and 13,820.16

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Solution

The fourth proportional to 24,430.75, 33,714.44 and 13,820.16 is: 19,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430.75 : 33,714.44 = 13,820.16 : x
  2. Step 2: Convert to fraction form
    24,430.75/33,714.44 = 13,820.16/x
  3. Step 3: Cross multiply
    24,430.75x = 33,714.44 × 13,820.16
  4. Step 4: Simplify right side
    24,430.75x = 465,938,955.11
  5. Step 5: Solve for x
    x = 465,938,955.11/24,430.75
  6. Step 6: Final answer
    x = 19,071.82

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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.