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Finding the Fourth Proportional to 23,565.29, 35,338.64 and 9,522.67

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Solution

The fourth proportional to 23,565.29, 35,338.64 and 9,522.67 is: 14,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.29 : 35,338.64 = 9,522.67 : x
  2. Step 2: Convert to fraction form
    23,565.29/35,338.64 = 9,522.67/x
  3. Step 3: Cross multiply
    23,565.29x = 35,338.64 × 9,522.67
  4. Step 4: Simplify right side
    23,565.29x = 336,518,159.36
  5. Step 5: Solve for x
    x = 336,518,159.36/23,565.29
  6. Step 6: Final answer
    x = 14,280.25

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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.