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Finding the Fourth Proportional to 13,852.96, 19,117.16 and 7,565.34

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Solution

The fourth proportional to 13,852.96, 19,117.16 and 7,565.34 is: 10,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.96 : 19,117.16 = 7,565.34 : x
  2. Step 2: Convert to fraction form
    13,852.96/19,117.16 = 7,565.34/x
  3. Step 3: Cross multiply
    13,852.96x = 19,117.16 × 7,565.34
  4. Step 4: Simplify right side
    13,852.96x = 144,627,815.23
  5. Step 5: Solve for x
    x = 144,627,815.23/13,852.96
  6. Step 6: Final answer
    x = 10,440.21

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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.