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Finding the Fourth Proportional to 17,707, 24,435.53 and 10,541.83

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Solution

The fourth proportional to 17,707, 24,435.53 and 10,541.83 is: 14,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707 : 24,435.53 = 10,541.83 : x
  2. Step 2: Convert to fraction form
    17,707/24,435.53 = 10,541.83/x
  3. Step 3: Cross multiply
    17,707x = 24,435.53 × 10,541.83
  4. Step 4: Simplify right side
    17,707x = 257,595,150.51
  5. Step 5: Solve for x
    x = 257,595,150.51/17,707
  6. Step 6: Final answer
    x = 14,547.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.