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Finding the Fourth Proportional to 10,356.42, 15,459.50 and 9,585.48

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Solution

The fourth proportional to 10,356.42, 15,459.50 and 9,585.48 is: 14,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.42 : 15,459.50 = 9,585.48 : x
  2. Step 2: Convert to fraction form
    10,356.42/15,459.50 = 9,585.48/x
  3. Step 3: Cross multiply
    10,356.42x = 15,459.50 × 9,585.48
  4. Step 4: Simplify right side
    10,356.42x = 148,186,680.13
  5. Step 5: Solve for x
    x = 148,186,680.13/10,356.42
  6. Step 6: Final answer
    x = 14,308.68

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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.