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Finding the Fourth Proportional to 23,497.83, 32,426.91 and 12,888.14

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Solution

The fourth proportional to 23,497.83, 32,426.91 and 12,888.14 is: 17,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.83 : 32,426.91 = 12,888.14 : x
  2. Step 2: Convert to fraction form
    23,497.83/32,426.91 = 12,888.14/x
  3. Step 3: Cross multiply
    23,497.83x = 32,426.91 × 12,888.14
  4. Step 4: Simplify right side
    23,497.83x = 417,922,393.71
  5. Step 5: Solve for x
    x = 417,922,393.71/23,497.83
  6. Step 6: Final answer
    x = 17,785.57

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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.