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Finding the Fourth Proportional to 14,548.59, 20,070.86 and 9,161.46

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Solution

The fourth proportional to 14,548.59, 20,070.86 and 9,161.46 is: 12,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.59 : 20,070.86 = 9,161.46 : x
  2. Step 2: Convert to fraction form
    14,548.59/20,070.86 = 9,161.46/x
  3. Step 3: Cross multiply
    14,548.59x = 20,070.86 × 9,161.46
  4. Step 4: Simplify right side
    14,548.59x = 183,878,335.25
  5. Step 5: Solve for x
    x = 183,878,335.25/14,548.59
  6. Step 6: Final answer
    x = 12,638.91

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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.