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Finding the Fourth Proportional to 14,200.71, 19,573.41 and 13,009.47

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Solution

The fourth proportional to 14,200.71, 19,573.41 and 13,009.47 is: 17,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.71 : 19,573.41 = 13,009.47 : x
  2. Step 2: Convert to fraction form
    14,200.71/19,573.41 = 13,009.47/x
  3. Step 3: Cross multiply
    14,200.71x = 19,573.41 × 13,009.47
  4. Step 4: Simplify right side
    14,200.71x = 254,639,690.19
  5. Step 5: Solve for x
    x = 254,639,690.19/14,200.71
  6. Step 6: Final answer
    x = 17,931.48

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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.