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Finding the Fourth Proportional to 17,430.84, 24,053.14 and 10,259.64

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Solution

The fourth proportional to 17,430.84, 24,053.14 and 10,259.64 is: 14,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.84 : 24,053.14 = 10,259.64 : x
  2. Step 2: Convert to fraction form
    17,430.84/24,053.14 = 10,259.64/x
  3. Step 3: Cross multiply
    17,430.84x = 24,053.14 × 10,259.64
  4. Step 4: Simplify right side
    17,430.84x = 246,776,557.27
  5. Step 5: Solve for x
    x = 246,776,557.27/17,430.84
  6. Step 6: Final answer
    x = 14,157.47

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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.