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Finding the Fourth Proportional to 15,780.90, 23,630.88 and 15,313.74

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Solution

The fourth proportional to 15,780.90, 23,630.88 and 15,313.74 is: 22,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.90 : 23,630.88 = 15,313.74 : x
  2. Step 2: Convert to fraction form
    15,780.90/23,630.88 = 15,313.74/x
  3. Step 3: Cross multiply
    15,780.90x = 23,630.88 × 15,313.74
  4. Step 4: Simplify right side
    15,780.90x = 361,877,152.29
  5. Step 5: Solve for x
    x = 361,877,152.29/15,780.90
  6. Step 6: Final answer
    x = 22,931.34

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