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Finding the Fourth Proportional to 24,394.48, 36,566.58 and 9,597.40

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Solution

The fourth proportional to 24,394.48, 36,566.58 and 9,597.40 is: 14,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.48 : 36,566.58 = 9,597.40 : x
  2. Step 2: Convert to fraction form
    24,394.48/36,566.58 = 9,597.40/x
  3. Step 3: Cross multiply
    24,394.48x = 36,566.58 × 9,597.40
  4. Step 4: Simplify right side
    24,394.48x = 350,944,094.89
  5. Step 5: Solve for x
    x = 350,944,094.89/24,394.48
  6. Step 6: Final answer
    x = 14,386.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.