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Finding the Fourth Proportional to 13,834.95, 19,092.41 and 7,547.32

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Solution

The fourth proportional to 13,834.95, 19,092.41 and 7,547.32 is: 10,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.95 : 19,092.41 = 7,547.32 : x
  2. Step 2: Convert to fraction form
    13,834.95/19,092.41 = 7,547.32/x
  3. Step 3: Cross multiply
    13,834.95x = 19,092.41 × 7,547.32
  4. Step 4: Simplify right side
    13,834.95x = 144,096,527.84
  5. Step 5: Solve for x
    x = 144,096,527.84/13,834.95
  6. Step 6: Final answer
    x = 10,415.40

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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.