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Finding the Fourth Proportional to 17,509.13, 24,155.71 and 10,783.08

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Solution

The fourth proportional to 17,509.13, 24,155.71 and 10,783.08 is: 14,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.13 : 24,155.71 = 10,783.08 : x
  2. Step 2: Convert to fraction form
    17,509.13/24,155.71 = 10,783.08/x
  3. Step 3: Cross multiply
    17,509.13x = 24,155.71 × 10,783.08
  4. Step 4: Simplify right side
    17,509.13x = 260,472,778.69
  5. Step 5: Solve for x
    x = 260,472,778.69/17,509.13
  6. Step 6: Final answer
    x = 14,876.40

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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.