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Finding the Fourth Proportional to 14,712, 22,055.58 and 6,385.74

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Solution

The fourth proportional to 14,712, 22,055.58 and 6,385.74 is: 9,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712 : 22,055.58 = 6,385.74 : x
  2. Step 2: Convert to fraction form
    14,712/22,055.58 = 6,385.74/x
  3. Step 3: Cross multiply
    14,712x = 22,055.58 × 6,385.74
  4. Step 4: Simplify right side
    14,712x = 140,841,199.43
  5. Step 5: Solve for x
    x = 140,841,199.43/14,712
  6. Step 6: Final answer
    x = 9,573.22

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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.