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Finding the Fourth Proportional to 24,534.12, 33,854.04 and 14,460.24

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Solution

The fourth proportional to 24,534.12, 33,854.04 and 14,460.24 is: 19,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.12 : 33,854.04 = 14,460.24 : x
  2. Step 2: Convert to fraction form
    24,534.12/33,854.04 = 14,460.24/x
  3. Step 3: Cross multiply
    24,534.12x = 33,854.04 × 14,460.24
  4. Step 4: Simplify right side
    24,534.12x = 489,537,543.37
  5. Step 5: Solve for x
    x = 489,537,543.37/24,534.12
  6. Step 6: Final answer
    x = 19,953.34

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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.