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Finding the Fourth Proportional to 23,775.42, 35,632.14 and 9,718.98

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Solution

The fourth proportional to 23,775.42, 35,632.14 and 9,718.98 is: 14,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.42 : 35,632.14 = 9,718.98 : x
  2. Step 2: Convert to fraction form
    23,775.42/35,632.14 = 9,718.98/x
  3. Step 3: Cross multiply
    23,775.42x = 35,632.14 × 9,718.98
  4. Step 4: Simplify right side
    23,775.42x = 346,308,056.02
  5. Step 5: Solve for x
    x = 346,308,056.02/23,775.42
  6. Step 6: Final answer
    x = 14,565.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.