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Finding the Fourth Proportional to 14,074.16, 19,421.90 and 8,407.63

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Solution

The fourth proportional to 14,074.16, 19,421.90 and 8,407.63 is: 11,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.16 : 19,421.90 = 8,407.63 : x
  2. Step 2: Convert to fraction form
    14,074.16/19,421.90 = 8,407.63/x
  3. Step 3: Cross multiply
    14,074.16x = 19,421.90 × 8,407.63
  4. Step 4: Simplify right side
    14,074.16x = 163,292,199.28
  5. Step 5: Solve for x
    x = 163,292,199.28/14,074.16
  6. Step 6: Final answer
    x = 11,602.27

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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.