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Finding the Fourth Proportional to 17,543.76, 24,210.36 and 9,585.98

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Solution

The fourth proportional to 17,543.76, 24,210.36 and 9,585.98 is: 13,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.76 : 24,210.36 = 9,585.98 : x
  2. Step 2: Convert to fraction form
    17,543.76/24,210.36 = 9,585.98/x
  3. Step 3: Cross multiply
    17,543.76x = 24,210.36 × 9,585.98
  4. Step 4: Simplify right side
    17,543.76x = 232,080,026.75
  5. Step 5: Solve for x
    x = 232,080,026.75/17,543.76
  6. Step 6: Final answer
    x = 13,228.64

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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.