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Finding the Fourth Proportional to 15,440, 21,312.42 and 9,623.66

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Solution

The fourth proportional to 15,440, 21,312.42 and 9,623.66 is: 13,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,440 : 21,312.42 = 9,623.66 : x
  2. Step 2: Convert to fraction form
    15,440/21,312.42 = 9,623.66/x
  3. Step 3: Cross multiply
    15,440x = 21,312.42 × 9,623.66
  4. Step 4: Simplify right side
    15,440x = 205,103,483.86
  5. Step 5: Solve for x
    x = 205,103,483.86/15,440
  6. Step 6: Final answer
    x = 13,283.90

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