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Finding the Fourth Proportional to 15,883.67, 23,833.25 and 6,526.50

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Solution

The fourth proportional to 15,883.67, 23,833.25 and 6,526.50 is: 9,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.67 : 23,833.25 = 6,526.50 : x
  2. Step 2: Convert to fraction form
    15,883.67/23,833.25 = 6,526.50/x
  3. Step 3: Cross multiply
    15,883.67x = 23,833.25 × 6,526.50
  4. Step 4: Simplify right side
    15,883.67x = 155,547,673.49
  5. Step 5: Solve for x
    x = 155,547,673.49/15,883.67
  6. Step 6: Final answer
    x = 9,792.93

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Why These Related Problems?

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