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Finding the Fourth Proportional to 15,333.50, 23,005.80 and 7,547.78

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Solution

The fourth proportional to 15,333.50, 23,005.80 and 7,547.78 is: 11,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,333.50 : 23,005.80 = 7,547.78 : x
  2. Step 2: Convert to fraction form
    15,333.50/23,005.80 = 7,547.78/x
  3. Step 3: Cross multiply
    15,333.50x = 23,005.80 × 7,547.78
  4. Step 4: Simplify right side
    15,333.50x = 173,642,717.12
  5. Step 5: Solve for x
    x = 173,642,717.12/15,333.50
  6. Step 6: Final answer
    x = 11,324.40

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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.