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Finding the Fourth Proportional to 15,694.74, 23,530.23 and 7,800.48

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Solution

The fourth proportional to 15,694.74, 23,530.23 and 7,800.48 is: 11,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.74 : 23,530.23 = 7,800.48 : x
  2. Step 2: Convert to fraction form
    15,694.74/23,530.23 = 7,800.48/x
  3. Step 3: Cross multiply
    15,694.74x = 23,530.23 × 7,800.48
  4. Step 4: Simplify right side
    15,694.74x = 183,547,088.51
  5. Step 5: Solve for x
    x = 183,547,088.51/15,694.74
  6. Step 6: Final answer
    x = 11,694.82

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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.