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Finding the Fourth Proportional to 15,653.22, 23,483.67 and 4,560

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Solution

The fourth proportional to 15,653.22, 23,483.67 and 4,560 is: 6,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.22 : 23,483.67 = 4,560 : x
  2. Step 2: Convert to fraction form
    15,653.22/23,483.67 = 4,560/x
  3. Step 3: Cross multiply
    15,653.22x = 23,483.67 × 4,560
  4. Step 4: Simplify right side
    15,653.22x = 107,085,535.20
  5. Step 5: Solve for x
    x = 107,085,535.20/15,653.22
  6. Step 6: Final answer
    x = 6,841.12

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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.