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Finding the Fourth Proportional to 15,948.65, 24,042.44 and 14,878.24

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Solution

The fourth proportional to 15,948.65, 24,042.44 and 14,878.24 is: 22,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948.65 : 24,042.44 = 14,878.24 : x
  2. Step 2: Convert to fraction form
    15,948.65/24,042.44 = 14,878.24/x
  3. Step 3: Cross multiply
    15,948.65x = 24,042.44 × 14,878.24
  4. Step 4: Simplify right side
    15,948.65x = 357,709,192.51
  5. Step 5: Solve for x
    x = 357,709,192.51/15,948.65
  6. Step 6: Final answer
    x = 22,428.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.