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Finding the Fourth Proportional to 23,038.47, 34,535.81 and 9,007.50

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Solution

The fourth proportional to 23,038.47, 34,535.81 and 9,007.50 is: 13,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.47 : 34,535.81 = 9,007.50 : x
  2. Step 2: Convert to fraction form
    23,038.47/34,535.81 = 9,007.50/x
  3. Step 3: Cross multiply
    23,038.47x = 34,535.81 × 9,007.50
  4. Step 4: Simplify right side
    23,038.47x = 311,081,263.54
  5. Step 5: Solve for x
    x = 311,081,263.54/23,038.47
  6. Step 6: Final answer
    x = 13,502.69

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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.