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Finding the Fourth Proportional to 23,547.32, 35,317.05 and 7,752.53

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Solution

The fourth proportional to 23,547.32, 35,317.05 and 7,752.53 is: 11,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.32 : 35,317.05 = 7,752.53 : x
  2. Step 2: Convert to fraction form
    23,547.32/35,317.05 = 7,752.53/x
  3. Step 3: Cross multiply
    23,547.32x = 35,317.05 × 7,752.53
  4. Step 4: Simplify right side
    23,547.32x = 273,796,313.05
  5. Step 5: Solve for x
    x = 273,796,313.05/23,547.32
  6. Step 6: Final answer
    x = 11,627.50

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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.