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Finding the Fourth Proportional to 14,698.42, 20,223.75 and 12,702.58

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Solution

The fourth proportional to 14,698.42, 20,223.75 and 12,702.58 is: 17,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.42 : 20,223.75 = 12,702.58 : x
  2. Step 2: Convert to fraction form
    14,698.42/20,223.75 = 12,702.58/x
  3. Step 3: Cross multiply
    14,698.42x = 20,223.75 × 12,702.58
  4. Step 4: Simplify right side
    14,698.42x = 256,893,802.28
  5. Step 5: Solve for x
    x = 256,893,802.28/14,698.42
  6. Step 6: Final answer
    x = 17,477.65

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