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Finding the Fourth Proportional to 17,693.51, 24,417.94 and 10,140.71

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Solution

The fourth proportional to 17,693.51, 24,417.94 and 10,140.71 is: 13,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.51 : 24,417.94 = 10,140.71 : x
  2. Step 2: Convert to fraction form
    17,693.51/24,417.94 = 10,140.71/x
  3. Step 3: Cross multiply
    17,693.51x = 24,417.94 × 10,140.71
  4. Step 4: Simplify right side
    17,693.51x = 247,615,248.34
  5. Step 5: Solve for x
    x = 247,615,248.34/17,693.51
  6. Step 6: Final answer
    x = 13,994.69

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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.