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Finding the Fourth Proportional to 15,695.44, 23,547 and 7,801.66

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Solution

The fourth proportional to 15,695.44, 23,547 and 7,801.66 is: 11,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.44 : 23,547 = 7,801.66 : x
  2. Step 2: Convert to fraction form
    15,695.44/23,547 = 7,801.66/x
  3. Step 3: Cross multiply
    15,695.44x = 23,547 × 7,801.66
  4. Step 4: Simplify right side
    15,695.44x = 183,705,688.02
  5. Step 5: Solve for x
    x = 183,705,688.02/15,695.44
  6. Step 6: Final answer
    x = 11,704.40

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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.