Home / 13,823.80-19,077.13-7,774.16

Finding the Fourth Proportional to 13,823.80, 19,077.13 and 7,774.16

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Solution

The fourth proportional to 13,823.80, 19,077.13 and 7,774.16 is: 10,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.80 : 19,077.13 = 7,774.16 : x
  2. Step 2: Convert to fraction form
    13,823.80/19,077.13 = 7,774.16/x
  3. Step 3: Cross multiply
    13,823.80x = 19,077.13 × 7,774.16
  4. Step 4: Simplify right side
    13,823.80x = 148,308,526.70
  5. Step 5: Solve for x
    x = 148,308,526.70/13,823.80
  6. Step 6: Final answer
    x = 10,728.50

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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.