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Finding the Fourth Proportional to 15,714.51, 21,686.04 and 9,002.37

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Solution

The fourth proportional to 15,714.51, 21,686.04 and 9,002.37 is: 12,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.51 : 21,686.04 = 9,002.37 : x
  2. Step 2: Convert to fraction form
    15,714.51/21,686.04 = 9,002.37/x
  3. Step 3: Cross multiply
    15,714.51x = 21,686.04 × 9,002.37
  4. Step 4: Simplify right side
    15,714.51x = 195,225,755.91
  5. Step 5: Solve for x
    x = 195,225,755.91/15,714.51
  6. Step 6: Final answer
    x = 12,423.28

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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.