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Finding the Fourth Proportional to 14,117.64, 19,478.91 and 7,830.01

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Solution

The fourth proportional to 14,117.64, 19,478.91 and 7,830.01 is: 10,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.64 : 19,478.91 = 7,830.01 : x
  2. Step 2: Convert to fraction form
    14,117.64/19,478.91 = 7,830.01/x
  3. Step 3: Cross multiply
    14,117.64x = 19,478.91 × 7,830.01
  4. Step 4: Simplify right side
    14,117.64x = 152,520,060.09
  5. Step 5: Solve for x
    x = 152,520,060.09/14,117.64
  6. Step 6: Final answer
    x = 10,803.51

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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.