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Finding the Fourth Proportional to 24,955.32, 37,421.90 and 9,362

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Solution

The fourth proportional to 24,955.32, 37,421.90 and 9,362 is: 14,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955.32 : 37,421.90 = 9,362 : x
  2. Step 2: Convert to fraction form
    24,955.32/37,421.90 = 9,362/x
  3. Step 3: Cross multiply
    24,955.32x = 37,421.90 × 9,362
  4. Step 4: Simplify right side
    24,955.32x = 350,343,827.80
  5. Step 5: Solve for x
    x = 350,343,827.80/24,955.32
  6. Step 6: Final answer
    x = 14,038.84

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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.