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Finding the Fourth Proportional to 13,878.81, 19,159.02 and 9,644.18

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Solution

The fourth proportional to 13,878.81, 19,159.02 and 9,644.18 is: 13,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.81 : 19,159.02 = 9,644.18 : x
  2. Step 2: Convert to fraction form
    13,878.81/19,159.02 = 9,644.18/x
  3. Step 3: Cross multiply
    13,878.81x = 19,159.02 × 9,644.18
  4. Step 4: Simplify right side
    13,878.81x = 184,772,941.71
  5. Step 5: Solve for x
    x = 184,772,941.71/13,878.81
  6. Step 6: Final answer
    x = 13,313.31

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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.