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Finding the Fourth Proportional to 15,792.84, 23,689.20 and 6,430.77

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Solution

The fourth proportional to 15,792.84, 23,689.20 and 6,430.77 is: 9,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.84 : 23,689.20 = 6,430.77 : x
  2. Step 2: Convert to fraction form
    15,792.84/23,689.20 = 6,430.77/x
  3. Step 3: Cross multiply
    15,792.84x = 23,689.20 × 6,430.77
  4. Step 4: Simplify right side
    15,792.84x = 152,339,708.96
  5. Step 5: Solve for x
    x = 152,339,708.96/15,792.84
  6. Step 6: Final answer
    x = 9,646.13

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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.