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Finding the Fourth Proportional to 15,434.81, 21,300.42 and 9,463.01

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Solution

The fourth proportional to 15,434.81, 21,300.42 and 9,463.01 is: 13,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434.81 : 21,300.42 = 9,463.01 : x
  2. Step 2: Convert to fraction form
    15,434.81/21,300.42 = 9,463.01/x
  3. Step 3: Cross multiply
    15,434.81x = 21,300.42 × 9,463.01
  4. Step 4: Simplify right side
    15,434.81x = 201,565,980.96
  5. Step 5: Solve for x
    x = 201,565,980.96/15,434.81
  6. Step 6: Final answer
    x = 13,059.19

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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.