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Finding the Fourth Proportional to 15,883.13, 23,804.18 and 7,565.69

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Solution

The fourth proportional to 15,883.13, 23,804.18 and 7,565.69 is: 11,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.13 : 23,804.18 = 7,565.69 : x
  2. Step 2: Convert to fraction form
    15,883.13/23,804.18 = 7,565.69/x
  3. Step 3: Cross multiply
    15,883.13x = 23,804.18 × 7,565.69
  4. Step 4: Simplify right side
    15,883.13x = 180,095,068.27
  5. Step 5: Solve for x
    x = 180,095,068.27/15,883.13
  6. Step 6: Final answer
    x = 11,338.77

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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.