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Finding the Fourth Proportional to 22,421.08, 30,913.68 and 14,023

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Solution

The fourth proportional to 22,421.08, 30,913.68 and 14,023 is: 19,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.08 : 30,913.68 = 14,023 : x
  2. Step 2: Convert to fraction form
    22,421.08/30,913.68 = 14,023/x
  3. Step 3: Cross multiply
    22,421.08x = 30,913.68 × 14,023
  4. Step 4: Simplify right side
    22,421.08x = 433,502,534.64
  5. Step 5: Solve for x
    x = 433,502,534.64/22,421.08
  6. Step 6: Final answer
    x = 19,334.60

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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.