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Finding the Fourth Proportional to 12,953.88, 19,419.53 and 6,710.58

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Solution

The fourth proportional to 12,953.88, 19,419.53 and 6,710.58 is: 10,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.88 : 19,419.53 = 6,710.58 : x
  2. Step 2: Convert to fraction form
    12,953.88/19,419.53 = 6,710.58/x
  3. Step 3: Cross multiply
    12,953.88x = 19,419.53 × 6,710.58
  4. Step 4: Simplify right side
    12,953.88x = 130,316,276.07
  5. Step 5: Solve for x
    x = 130,316,276.07/12,953.88
  6. Step 6: Final answer
    x = 10,060.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.