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Finding the Fourth Proportional to 24,802.98, 34,225.74 and 14,048.34

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Solution

The fourth proportional to 24,802.98, 34,225.74 and 14,048.34 is: 19,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.98 : 34,225.74 = 14,048.34 : x
  2. Step 2: Convert to fraction form
    24,802.98/34,225.74 = 14,048.34/x
  3. Step 3: Cross multiply
    24,802.98x = 34,225.74 × 14,048.34
  4. Step 4: Simplify right side
    24,802.98x = 480,814,832.27
  5. Step 5: Solve for x
    x = 480,814,832.27/24,802.98
  6. Step 6: Final answer
    x = 19,385.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.