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Finding the Fourth Proportional to 17,713.51, 24,444.34 and 9,756.47

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Solution

The fourth proportional to 17,713.51, 24,444.34 and 9,756.47 is: 13,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.51 : 24,444.34 = 9,756.47 : x
  2. Step 2: Convert to fraction form
    17,713.51/24,444.34 = 9,756.47/x
  3. Step 3: Cross multiply
    17,713.51x = 24,444.34 × 9,756.47
  4. Step 4: Simplify right side
    17,713.51x = 238,490,506.60
  5. Step 5: Solve for x
    x = 238,490,506.60/17,713.51
  6. Step 6: Final answer
    x = 13,463.77

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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.