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Finding the Fourth Proportional to 15,783.90, 23,724.45 and 14,909.10

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Solution

The fourth proportional to 15,783.90, 23,724.45 and 14,909.10 is: 22,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.90 : 23,724.45 = 14,909.10 : x
  2. Step 2: Convert to fraction form
    15,783.90/23,724.45 = 14,909.10/x
  3. Step 3: Cross multiply
    15,783.90x = 23,724.45 × 14,909.10
  4. Step 4: Simplify right side
    15,783.90x = 353,710,197.50
  5. Step 5: Solve for x
    x = 353,710,197.50/15,783.90
  6. Step 6: Final answer
    x = 22,409.56

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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.