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Finding the Fourth Proportional to 13,852.98, 19,117.80 and 7,565.31

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Solution

The fourth proportional to 13,852.98, 19,117.80 and 7,565.31 is: 10,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.98 : 19,117.80 = 7,565.31 : x
  2. Step 2: Convert to fraction form
    13,852.98/19,117.80 = 7,565.31/x
  3. Step 3: Cross multiply
    13,852.98x = 19,117.80 × 7,565.31
  4. Step 4: Simplify right side
    13,852.98x = 144,632,083.52
  5. Step 5: Solve for x
    x = 144,632,083.52/13,852.98
  6. Step 6: Final answer
    x = 10,440.50

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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.