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Finding the Fourth Proportional to 14,073.09, 19,421.40 and 7,700.13

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Solution

The fourth proportional to 14,073.09, 19,421.40 and 7,700.13 is: 10,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.09 : 19,421.40 = 7,700.13 : x
  2. Step 2: Convert to fraction form
    14,073.09/19,421.40 = 7,700.13/x
  3. Step 3: Cross multiply
    14,073.09x = 19,421.40 × 7,700.13
  4. Step 4: Simplify right side
    14,073.09x = 149,547,304.78
  5. Step 5: Solve for x
    x = 149,547,304.78/14,073.09
  6. Step 6: Final answer
    x = 10,626.47

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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.