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Finding the Fourth Proportional to 15,790.51, 23,677.06 and 6,428.13

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Solution

The fourth proportional to 15,790.51, 23,677.06 and 6,428.13 is: 9,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,790.51 : 23,677.06 = 6,428.13 : x
  2. Step 2: Convert to fraction form
    15,790.51/23,677.06 = 6,428.13/x
  3. Step 3: Cross multiply
    15,790.51x = 23,677.06 × 6,428.13
  4. Step 4: Simplify right side
    15,790.51x = 152,199,219.70
  5. Step 5: Solve for x
    x = 152,199,219.70/15,790.51
  6. Step 6: Final answer
    x = 9,638.65

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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.