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Finding the Fourth Proportional to 14,702.19, 22,044.98 and 4,838.82

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Solution

The fourth proportional to 14,702.19, 22,044.98 and 4,838.82 is: 7,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.19 : 22,044.98 = 4,838.82 : x
  2. Step 2: Convert to fraction form
    14,702.19/22,044.98 = 4,838.82/x
  3. Step 3: Cross multiply
    14,702.19x = 22,044.98 × 4,838.82
  4. Step 4: Simplify right side
    14,702.19x = 106,671,702.22
  5. Step 5: Solve for x
    x = 106,671,702.22/14,702.19
  6. Step 6: Final answer
    x = 7,255.50

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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.