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Finding the Fourth Proportional to 14,337.24, 19,802.16 and 13,076.10

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Solution

The fourth proportional to 14,337.24, 19,802.16 and 13,076.10 is: 18,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337.24 : 19,802.16 = 13,076.10 : x
  2. Step 2: Convert to fraction form
    14,337.24/19,802.16 = 13,076.10/x
  3. Step 3: Cross multiply
    14,337.24x = 19,802.16 × 13,076.10
  4. Step 4: Simplify right side
    14,337.24x = 258,935,024.38
  5. Step 5: Solve for x
    x = 258,935,024.38/14,337.24
  6. Step 6: Final answer
    x = 18,060.31

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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.