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Finding the Fourth Proportional to 17,973.42, 24,804.63 and 10,421.70

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Solution

The fourth proportional to 17,973.42, 24,804.63 and 10,421.70 is: 14,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.42 : 24,804.63 = 10,421.70 : x
  2. Step 2: Convert to fraction form
    17,973.42/24,804.63 = 10,421.70/x
  3. Step 3: Cross multiply
    17,973.42x = 24,804.63 × 10,421.70
  4. Step 4: Simplify right side
    17,973.42x = 258,506,412.47
  5. Step 5: Solve for x
    x = 258,506,412.47/17,973.42
  6. Step 6: Final answer
    x = 14,382.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.