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Finding the Fourth Proportional to 13,809.48, 19,048.93 and 9,771.76

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Solution

The fourth proportional to 13,809.48, 19,048.93 and 9,771.76 is: 13,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.48 : 19,048.93 = 9,771.76 : x
  2. Step 2: Convert to fraction form
    13,809.48/19,048.93 = 9,771.76/x
  3. Step 3: Cross multiply
    13,809.48x = 19,048.93 × 9,771.76
  4. Step 4: Simplify right side
    13,809.48x = 186,141,572.22
  5. Step 5: Solve for x
    x = 186,141,572.22/13,809.48
  6. Step 6: Final answer
    x = 13,479.26

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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.