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Finding the Fourth Proportional to 14,020, 19,347.88 and 9,060.64

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Solution

The fourth proportional to 14,020, 19,347.88 and 9,060.64 is: 12,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020 : 19,347.88 = 9,060.64 : x
  2. Step 2: Convert to fraction form
    14,020/19,347.88 = 9,060.64/x
  3. Step 3: Cross multiply
    14,020x = 19,347.88 × 9,060.64
  4. Step 4: Simplify right side
    14,020x = 175,304,175.44
  5. Step 5: Solve for x
    x = 175,304,175.44/14,020
  6. Step 6: Final answer
    x = 12,503.86

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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.