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Finding the Fourth Proportional to 14,030.64, 19,364.13 and 9,778.95

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Solution

The fourth proportional to 14,030.64, 19,364.13 and 9,778.95 is: 13,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.64 : 19,364.13 = 9,778.95 : x
  2. Step 2: Convert to fraction form
    14,030.64/19,364.13 = 9,778.95/x
  3. Step 3: Cross multiply
    14,030.64x = 19,364.13 × 9,778.95
  4. Step 4: Simplify right side
    14,030.64x = 189,360,859.06
  5. Step 5: Solve for x
    x = 189,360,859.06/14,030.64
  6. Step 6: Final answer
    x = 13,496.24

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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.