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Finding the Fourth Proportional to 19,802.37, 27,328.76 and 13,076.34

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Solution

The fourth proportional to 19,802.37, 27,328.76 and 13,076.34 is: 18,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.37 : 27,328.76 = 13,076.34 : x
  2. Step 2: Convert to fraction form
    19,802.37/27,328.76 = 13,076.34/x
  3. Step 3: Cross multiply
    19,802.37x = 27,328.76 × 13,076.34
  4. Step 4: Simplify right side
    19,802.37x = 357,360,038.71
  5. Step 5: Solve for x
    x = 357,360,038.71/19,802.37
  6. Step 6: Final answer
    x = 18,046.32

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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.