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Finding the Fourth Proportional to 14,308.50, 19,741.02 and 9,276.66

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Solution

The fourth proportional to 14,308.50, 19,741.02 and 9,276.66 is: 12,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.50 : 19,741.02 = 9,276.66 : x
  2. Step 2: Convert to fraction form
    14,308.50/19,741.02 = 9,276.66/x
  3. Step 3: Cross multiply
    14,308.50x = 19,741.02 × 9,276.66
  4. Step 4: Simplify right side
    14,308.50x = 183,130,730.59
  5. Step 5: Solve for x
    x = 183,130,730.59/14,308.50
  6. Step 6: Final answer
    x = 12,798.74

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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.