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Finding the Fourth Proportional to 14,061.74, 19,421.16 and 9,577.72

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Solution

The fourth proportional to 14,061.74, 19,421.16 and 9,577.72 is: 13,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,061.74 : 19,421.16 = 9,577.72 : x
  2. Step 2: Convert to fraction form
    14,061.74/19,421.16 = 9,577.72/x
  3. Step 3: Cross multiply
    14,061.74x = 19,421.16 × 9,577.72
  4. Step 4: Simplify right side
    14,061.74x = 186,010,384.00
  5. Step 5: Solve for x
    x = 186,010,384.00/14,061.74
  6. Step 6: Final answer
    x = 13,228.12

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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.