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Finding the Fourth Proportional to 14,348.34, 19,802.34 and 9,042.84

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Solution

The fourth proportional to 14,348.34, 19,802.34 and 9,042.84 is: 12,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.34 : 19,802.34 = 9,042.84 : x
  2. Step 2: Convert to fraction form
    14,348.34/19,802.34 = 9,042.84/x
  3. Step 3: Cross multiply
    14,348.34x = 19,802.34 × 9,042.84
  4. Step 4: Simplify right side
    14,348.34x = 179,069,392.25
  5. Step 5: Solve for x
    x = 179,069,392.25/14,348.34
  6. Step 6: Final answer
    x = 12,480.15

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1.5x scale

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.