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Finding the Fourth Proportional to 10,613.69, 15,827.88 and 9,303.51

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Solution

The fourth proportional to 10,613.69, 15,827.88 and 9,303.51 is: 13,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.69 : 15,827.88 = 9,303.51 : x
  2. Step 2: Convert to fraction form
    10,613.69/15,827.88 = 9,303.51/x
  3. Step 3: Cross multiply
    10,613.69x = 15,827.88 × 9,303.51
  4. Step 4: Simplify right side
    10,613.69x = 147,254,839.86
  5. Step 5: Solve for x
    x = 147,254,839.86/10,613.69
  6. Step 6: Final answer
    x = 13,874.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.